New pages
Jump to navigation
Jump to search
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)
- 12:24, 3 May 2023 Reduction from Point on 3 Lines to 3 Points on Line (hist | edit) [452 bytes] Admin (talk | contribs) (Created page with "FROM: Point on 3 Lines TO: 3 Points on Line == Description == == Implications == if: to-time $N^{2-\epsilon}$ for some $\epsilon > {0}$<br/>then: from-time: $N^{2-\epsilon'}$ for some $\epsilon' > {0}$ == Year == 1995 == Reference == Anka Gajentaan, Mark H Overmars, On a class of O(n2) problems in computational geometry, Computational Geometry, Volume 5, Issue 3, 1995, Pages 165-185 https://doi.org/10.1016/0925-7721(95)00022-2")
- 10:19, 28 April 2023 The SUSAN corner detector (Corner Detection Feature Detection) (hist | edit) [252 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{3})$ == Space Complexity == () == Description == == Approximate? == Approximate Approximation Factor: == Randomized? == No, deterministic == Model of Computation == == Year == 1997 == Reference ==")
- 10:19, 28 April 2023 L. Kitchen and A. Rosenfeld (Corner Detection Feature Detection) (hist | edit) [325 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{3})$ == Space Complexity == () == Description == == Approximate? == Approximate Approximation Factor: == Randomized? == No, deterministic == Model of Computation == == Year == 1982 == Reference == https://www.sciencedirect.com/science/article/abs/pii/0167865582900204")
- 10:19, 28 April 2023 Harris and Stephens algorithm (Corner Detection Feature Detection) (hist | edit) [299 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{2})$ == Space Complexity == () == Description == == Approximate? == Approximate Approximation Factor: == Randomized? == No, deterministic == Model of Computation == == Year == 1988 == Reference == http://www.bmva.org/bmvc/1988/avc-88-023.pdf")
- 10:08, 28 April 2023 K-ANNS for a dense 3D map of geometric points (hist | edit) [887 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:k-ANNS for a dense 3D map of geometric points (Nearest Neighbor Search)}} == Description == Within a dataset of $n$ points in a dense 3D geometric map, find approximately the $k$ closest points to a specified point. == Related Problems == Generalizations: k Approximate Nearest Neighbors Search Related: k Nearest Neighbors Search == Parameters == $n$: number of points in dataset $k$: number of neighbors to find == Table of Algorithms ==...")
- 10:00, 10 April 2023 Reduction from Triangle Detection to Disjunctive Reachability Queries in MDPs (hist | edit) [650 bytes] Admin (talk | contribs) (Created page with "FROM: Triangle Detection TO: Disjunctive Reachability Queries in MDPs == Description == == Implications == assume: Strong Triangle<br/>then: there is no combinatorial $O(n^{3-\epsilon})$ or $O((k \cdot n^{2})^{1-\epsilon})$ algorithm for any $\epsilon > {0}$ for target. The bounds holf for dense MDPs with $m=\Theta(n^{2})$ == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds: Dis...")
- 09:56, 10 April 2023 Wen (1-dimensional Maximum subarray problem) (hist | edit) [309 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(log n)$ == Space Complexity == words () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == EREW PRAM == Year == 1995 == Reference == https://www.sciencedirect.com/science/article/abs/pii/016781919400063G")
- 09:55, 10 April 2023 Masek, Paterson (Edit sequence Sequence Alignment) (hist | edit) [410 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn/log(n)$) == Space Complexity == $O(mn/log(n)$) words (https://www.sciencedirect.com/science/article/pii/0022000080900021?via%3Dihub) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1980 == Reference == https://www.sciencedirect.com/science/article/pii/0022000080900021?via%3Dihub")
- 09:55, 10 April 2023 Wagner-Fischer algorithm (Edit sequence Sequence Alignment) (hist | edit) [334 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(mn)$ words (https://dl.acm.org/doi/10.1145/360825.360861) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1974 == Reference == https://dl.acm.org/doi/abs/10.1145/321796.321811")
- 09:55, 10 April 2023 Wagner-Fischer algorithm (Edit distance Sequence Alignment) (hist | edit) [303 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(m)$ words (Easily derived) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1974 == Reference == https://dl.acm.org/doi/abs/10.1145/321796.321811")
- 09:49, 10 April 2023 Kingsford (Motif Search Motif Search) (hist | edit) [418 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(m^{2}n^{2})$ words (Creates an ILP with $O(m^2n^2)$ variables and $O(n^2m)$ constraints, each involving $O(m)$ variables) == Description == ILP formulation == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2006 == Reference == https://link.springer.com/chapter/10.1007/11780441_22")
- 09:49, 10 April 2023 Liang Cwinnower (Motif Search Motif Search) (hist | edit) [364 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(nm^{0.5})$ == Space Complexity == $O(m^{2})$ words (Considers a graph on $O(m)$ nodes and $O(m^2)$ edges) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2003 == Reference == https://www.worldscientific.com/doi/10.1142/S0219720004000466")
- 09:49, 10 April 2023 Sagot M (Motif Search Motif Search) (hist | edit) [370 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log(n)$ m^{1.{4}5}) == Space Complexity == $O(mn^{2}/w)$ words (https://link.springer.com/chapter/10.1007/BFb0054337) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1988 == Reference == https://link.springer.com/chapter/10.1007/BFb0054337")
- 09:49, 10 April 2023 Bailey TL; Elkan C MEME (Motif Search Motif Search) (hist | edit) [407 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{2}m^{2})$ == Space Complexity == $O(mn)$ words (Uses iterations of the EM algorithm as in (Lawrence, Reilly 1990), and thus uses similar amounts of space) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1995 == Reference == https://link.springer.com/article/10.1007/BF00993379")
- 09:49, 10 April 2023 Sinha S; Tompa M YMF (Yeast Motif Finder) (Motif Search Motif Search) (hist | edit) [367 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{0.{6}6} m)$ == Space Complexity == $O(m)$ words (Derived: store number of occurances for each motif of a specified length) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2000 == Reference == https://www.ncbi.nlm.nih.gov/pubmed/10977095")
- 09:49, 10 April 2023 Tompa M (Motif Search Motif Search) (hist | edit) [410 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(m^{2})$ words (Requires considering an $O(m^2)*O(m^2)$ matrix with $O(m^2)$ nonzero entries, based on a DFA with $O(m^2)$ states) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1999 == Reference == https://www.aaai.org/Papers/ISMB/1999/ISMB99-030.pdf")
- 09:49, 10 April 2023 Van Helden J; Rios AF; Collado-Vides J (Motif Search Motif Search) (hist | edit) [378 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(m)$ words (Derived: store number of occurances for each motif of a specified length) == Description == Dyad analysis == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2000 == Reference == https://www.ncbi.nlm.nih.gov/pmc/articles/PMC102821/")
- 09:49, 10 April 2023 Helden Oligo-Analysis (Motif Search Motif Search) (hist | edit) [431 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(m)$ words (Derived: store number of occurances for each motif of a specified length) == Description == Uses oligonucleotides? Also only detects "short" motifs, and used for yeast == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1998 == Reference == https://www.ncbi.nlm.nih.gov/pubmed/9719638")
- 09:48, 10 April 2023 B. I. Kvasov (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [441 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{4})$ == Space Complexity == $O(n)$?? words (Requires computing the coefficients b_i and functions Phi(x) and Psi(x) as in equations 17 and 18) == Description == Discrete Generalized Splines == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2000 == Reference == http://sutir.sut.ac.th:8080/sutir/bitstream/123456789/431/1/bib115.pdf")
- 09:48, 10 April 2023 P. Costantini, B. I. Kvasov, and C. Manni (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [411 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{5} \log K)$ == Space Complexity == $O(n)$? words (Derived: Pentadiagonal matrix in the linear system only requires O(n) space) == Description == Pentadiagonal linear system == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1999 == Reference == https://link.springer.com/article/10.1023/A:1018988312596")
- 09:48, 10 April 2023 V. I. Paasonen (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [229 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{5} \log K)$ == Space Complexity == () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == == Year == 1968 == Reference ==")
- 09:48, 10 April 2023 V. A. Lyul’ka and I. E. Mikhailov (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [316 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{4})$ == Space Complexity == () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == == Year == 2003 == Reference == http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=zvmmf&paperid=943&option_lang=eng")
- 09:48, 10 April 2023 V. A. Lyul’ka and A. V. Romanenko (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [261 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{5})$ == Space Complexity == () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == == Year == 1994 == Reference == https://www.mathnet.ru/eng/zvmmf2544")
- 09:48, 10 April 2023 B.I. Kvasov (Hyperbolic Spline Interpolation Hyperbolic Spline Interpolation) (hist | edit) [413 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{3} \log^{2}K)$ == Space Complexity == $O(n)$? words (Derived: Tridiagonal matrices in the linear system only require O(n) space) == Description == Tridiagonal linear system == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2008 == Reference == https://link.springer.com/article/10.1134/S0965542508040039")
- 09:42, 10 April 2023 Knuth–Bendix algorithm (Coset Enumeration Coset Enumeration) (hist | edit) [462 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O({1.5}^n n^{2} logn)$ == Space Complexity == $O(ng)$??? words (Can store a table whose number of required registers is the product of the number of generators (n) and the number of cosets (O(g))) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? == Year == 1970 == Reference == https://www.cs.tufts.edu/~nr/cs257/archive/don-knuth/knuth-bendix.pdf")
- 09:42, 10 April 2023 Haselgrove-Leech-Trotter (HLT) algorithm (Coset Enumeration Coset Enumeration) (hist | edit) [387 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O({2}^n)$ == Space Complexity == $O(ng)$? words (Implementation stores a table whose number of required registers is the product of the number of generators (n) and the number of cosets (O(g))) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? == Year == 1940 == Reference ==")
- 09:42, 10 April 2023 Todd–Coxeter algorithm (Coset Enumeration Coset Enumeration) (hist | edit) [501 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O({2}^n)$ == Space Complexity == $O(gkc)$ words (Defines O(k) tables, each with O(g) columns and O(c) rows) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? == Year == 1936 == Reference == https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/practical-method-for-enumerating-cosets-of-a-finite-abstract-group/030657...")
- 09:36, 10 April 2023 Fortune ( Delaunay Triangulation) (hist | edit) [460 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log n)$ == Space Complexity == $O(n)$ words (See Fortune's Algorithm (Voronoi diagrams); Voronoi diagram gives us O(n) circumcenters which can be used to find the O(n) triangles) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Real RAM? == Year == 1987 == Reference == http://www.wias-berlin.de/people/si/course/files/Fortune87-SweepLine-Voronoi.pdf")
- 09:33, 10 April 2023 Conjugate Gradient (Positive Definite Matrix Linear System) (hist | edit) [409 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(m k^{0.5})$ == Space Complexity == $O(m)$ words (http://www.cs.cmu.edu/~quake-papers/painless-conjugate-gradient.pdf) == Description == == Approximate? == Approximate Approximation Factor: == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1952 == Reference == https://nvlpubs.nist.gov/nistpubs/jres/049/jresv49n6p409_A1b.pdf")
- 09:33, 10 April 2023 Shell Sort (Sedgewick) (Comparison Sorting Sorting) (hist | edit) [343 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{1.{3}3})$ == Space Complexity == $O({1})$ words (in-situ sorting) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1986 == Reference == https://www.sciencedirect.com/science/article/pii/0196677486900015?via%3Dihub")
- 09:33, 10 April 2023 Shell Sort (Pratt) (Comparison Sorting Sorting) (hist | edit) [312 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log^{2} n)$ == Space Complexity == $O({1})$ words (in-situ sorting) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1971 == Reference == https://apps.dtic.mil/sti/pdfs/AD0740110.pdf")
- 09:33, 10 April 2023 Shell Sort (Frank & Lazarus) (Comparison Sorting Sorting) (hist | edit) [313 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{1.5})$ == Space Complexity == $O({1})$ words (in-situ sorting) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1960 == Reference == https://dl.acm.org/citation.cfm?doid=366947.366957")
- 09:32, 10 April 2023 Shell Sort (Shell) (Comparison Sorting Sorting) (hist | edit) [311 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{2})$ == Space Complexity == $O({1})$ words (in-situ sorting) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1959 == Reference == https://dl.acm.org/citation.cfm?doid=368370.368387")
- 09:32, 10 April 2023 Khuller; Matias ( Closest Pair Problem) (hist | edit) [444 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n)$, not sure if this is auxiliary not mentioned (https://www.sciencedirect.com/science/article/pii/S0890540185710498, Theorem 2.3) == Description == Randomized Sieve == Approximate? == Exact == Randomized? == Yes, Las Vegas == Model of Computation == not mentioned == Year == 1995 == Reference == https://www.sciencedirect.com/science/article/pii/S0890540185710498")
- 09:29, 10 April 2023 Nivasch (Cycle Detection Cycle Detection) (hist | edit) [388 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(\mu + \lambda)$ == Space Complexity == $O(\log\mu)$ Stack size (https://www.gabrielnivasch.org/fun/cycle-detection) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == not mentioned == Year == 2004 == Reference == https://drive.google.com/file/d/16H_lrjeaBJqWvcn07C_w-6VNHldJ-ZZl/view")
- 09:29, 10 April 2023 Sedgewick; Szymanski; and Yao (Cycle Detection Cycle Detection) (hist | edit) [400 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $(\mu + \lambda)({1}+\Theta({1}/sqrt(M)))$ == Space Complexity == M Memory cells (https://epubs.siam.org/doi/abs/10.1137/0211030?journalCode=smjcat) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == == Year == 1982 == Reference == https://epubs.siam.org/doi/abs/10.1137/0211030?journalCode=smjcat")
- 09:29, 10 April 2023 Eppstein (Subset Sum The Subset-Sum Problem) (hist | edit) [380 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $\tilde{O}(n max(S))$ == Space Complexity == $O(t logt)$ (https://dl.acm.org/doi/pdf/10.1145/3329863, Table 1) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == == Year == 1997 == Reference == https://www.sciencedirect.com/science/article/abs/pii/S019667749690841X?via%3Dihub")
- 09:29, 10 April 2023 Compression/Clustering (Vector Quantization) (k-ANNS Nearest Neighbor Search) (hist | edit) [305 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == Varies by codebook structure == Space Complexity == Varies by codebook structure (Table 2) == Description == == Approximate? == Approximate Approximation Factor: == Randomized? == No, deterministic == Model of Computation == == Year == 1992 == Reference ==")
- 09:29, 10 April 2023 Projected radial search (k-ANNS for a dense 3D map of geometric points Nearest Neighbor Search) (hist | edit) [418 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(k)$ == Space Complexity == $O({1})$ words (Derived: There are 5 local variables and no tables or lists aside from input/output) == Description == == Approximate? == Approximate Approximation Factor: ? == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2013 == Reference == http://www.araa.asn.au/acra/acra2013/papers/pap148s1-file1.pdf")
- 09:29, 10 April 2023 Locality-sensitive hashing (k-ANNS Nearest Neighbor Search) (hist | edit) [474 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(nLkt)$ (pre-processing) $O(L(kt+dnP_2^k))$ (query-time) == Space Complexity == $O(nL)$ hash table cells (https://en.wikipedia.org/wiki/Locality-sensitive_hashing#LSH_algorithm_for_nearest_neighbor_search) == Description == == Approximate? == Approximate Approximation Factor: c == Randomized? == No, deterministic == Model of Computation == == Year == 2010 == Reference == http://infolab.stanford.edu/~ullman/mmds/ch3n.pdf")
- 09:29, 10 April 2023 Hierarchical Navigable Small World (HNSW) (k-ANNS Nearest Neighbor Search) (hist | edit) [419 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(nlogn)$ == Space Complexity == $O(M)$ bytes of memory (https://arxiv.org/abs/1603.09320, "Memory usage is proportional to choice of M") == Description == == Approximate? == Approximate Approximation Factor: ? experimental results == Randomized? == No, deterministic == Model of Computation == == Year == 2018 == Reference == https://doi.org/10.1109/TPAMI.2018.2889473")
- 08:57, 10 April 2023 Work-conserving schedulers (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [231 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == words () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 Multilevel queue scheduling (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [288 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n+k)$? words (^see above; also level information for each task) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 Round-robin scheduling (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [250 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n+k)$? words (^see above) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 First come, first served (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [250 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n+k)$? words (^see above) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 Shortest remaining time first (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [250 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n+k)$? words (^see above) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 Priority scheduling (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [367 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n)$ == Space Complexity == $O(n+k)$? words (Keep track of (sorted, based on criteria) list of (unscheduled, running, etc.; just un-done) tasks, along with machine statuses) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 Fixed priority shortest job first (Unweighted Interval Scheduling, Online Interval Scheduling) (hist | edit) [394 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log n)$ == Space Complexity == $O(n+k)$? words (Keep track of (sorted, based on criteria) list of (unscheduled, running, etc.; just un-done) tasks, along with machine statuses and task priorities) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1940 == Reference ==")
- 08:57, 10 April 2023 BOYS algorithm (Entity Resolution Entity Resolution) (hist | edit) [394 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{2} k)$ == Space Complexity == $O(n^{2})$ words (Derived: As written stores counts/probabailities for all pairs of entries.) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1993 == Reference == https://www.sciencedirect.com/science/article/abs/pii/016794739390116B")
- 08:56, 10 April 2023 Gremban; Miller; Zagha (Inexact Laplacian Solver SDD Systems Solvers) (hist | edit) [454 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{2})$ == Space Complexity == $O(n^{2})$ words (https://www.cs.cmu.edu/~glmiller/Publications/Papers/GrMiZa94-tr.pdf) == Description == Support Tree Conjugate Gradients (STCG) == Approximate? == Approximate Approximation Factor: ? == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1995 == Reference == https://www.cs.cmu.edu/~glmiller/Publications/Papers/GrMiZa94-tr.pdf")
- 08:55, 10 April 2023 David (Square Matrix LU Decomposition LU Decomposition) (hist | edit) [238 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log n)$ == Space Complexity == words () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2006 == Reference ==")
- 08:55, 10 April 2023 Closed formula (Square Matrix LU Decomposition LU Decomposition) (hist | edit) [238 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(n \log n)$ == Space Complexity == words () == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1975 == Reference ==")
- 08:54, 10 April 2023 Hirschberg's algorithm (Edit sequence Sequence Alignment) (hist | edit) [329 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn)$ == Space Complexity == $O(n)$ words (https://dl.acm.org/doi/10.1145/360825.360861) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1975 == Reference == https://dl.acm.org/doi/10.1145/360825.360861")
- 08:54, 10 April 2023 Masek; Patterson (Edit distance Sequence Alignment) (hist | edit) [382 bytes] Admin (talk | contribs) (Created page with "== Time Complexity == $O(mn / log(n))$ == Space Complexity == $O(n)$ words (https://www.sciencedirect.com/science/article/pii/0022000080900021) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1980 == Reference == https://www.sciencedirect.com/science/article/pii/0022000080900021")
- 08:53, 10 April 2023 No-Steal, Force (hist | edit) [492 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:No-Steal, Force (Recovery)}} == Description == Recovery is the process of reverting back to a safe state prior to a system failure. With a No-Steal/Force policy, the recovery algorithm will never write uncommited data to memory, but will force all commits to memory. == Related Problems == Related: Steal, No-Force == Parameters == $n$: number of transactions before crash == Table of Algorithms == Currently no algorithms in our database for t...")
- 08:53, 10 April 2023 Steal, No-Force (hist | edit) [914 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Steal, No-Force (Recovery)}} == Description == Recovery is the process of reverting back to a safe state prior to a system failure. With a Steal/No-Force policy, the recovery algorithm will write possibly uncommited data to memory, while not forcing all commits to memory. == Related Problems == Related: No-Steal, Force == Parameters == $n$: number of transactions before crash == Table of Algorithms == {| class="wikitable sortable" style="t...")
- 08:53, 10 April 2023 Unweighted Interval Scheduling, Online (hist | edit) [3,094 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Unweighted Interval Scheduling, Online (Interval Scheduling)}} == Description == Given are $n$ intervals of the form $(s_j , f_j)$ with $s_j < f_j$, for $j = 1, \ldots , n$. These intervals are the jobs that require uninterrupted processing during that interval. We will assume (without loss of generality) that the $s_j$’s and the $f_j$’s are nonnegative integers. We say that two intervals (or jobs) overlap if their intersection is nonempty, otherwise...")
- 08:52, 10 April 2023 Root Computation with continuous first derivative (hist | edit) [764 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Root Computation with continuous first derivative (Root Computation)}} == Description == Given a real function with continuous first derivative, compute one of the roots. == Related Problems == Related: General Root Computation == Parameters == $\epsilon$: (additive) tolerance error $a, b$: endpoint values, with $b>a$ $n_{max}$: maximum number of iterations == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;"...")
- 08:52, 10 April 2023 General Root Computation (hist | edit) [2,713 bytes] Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:General Root Computation (Root Computation)}} == Description == Given a real continuous function, compute one of the roots. == Related Problems == Related: Root Computation with continuous first derivative == Parameters == $\epsilon$: (additive) tolerance error $a, b$: endpoint values, with $b>a$ $n_{max}$: maximum number of iterations == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name...")
- 15:52, 15 February 2023 Reduction from OV to Disjunctive Reachability Queries in MDPs (hist | edit) [563 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Disjunctive Reachability Queries in MDPs == Description == == Implications == assume: Strong Triangle<br/>then: there is no $O(m^{2-\epsilon})$ or $O((k \cdot m)^{1-\epsilon})$ algorithm, for any $\epsilon > {0}$ for target. == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds: Disjunction is harder than conjunction." Proceedings of the 31st Annual ACM/IEEE Symposium...")
- 12:19, 15 February 2023 Reduction from OV to k-OV (hist | edit) [135 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: k-OV == Description == == Implications == == Year == == Reference ==")
- 12:19, 15 February 2023 Reduction from 3-OV to k-OV (hist | edit) [141 bytes] Admin (talk | contribs) (Created page with "FROM: 3-OV TO: k-OV == Description == == Implications == == Year == == Reference ==")
- 12:19, 15 February 2023 Reduction from Max-Weight K-Clique to Weighted Depth (hist | edit) [619 bytes] Admin (talk | contribs) (Created page with "FROM: Max-Weight K-Clique TO: Weighted Depth == Description == == Implications == if: to-time: $O(n^{\lfloor d/{2}\rfloor-\epsilon})$ for $N$ weighted axis-parallel boxes in $\mathbb{R}^d$<br/>then: from-time: $O(n^{k-{2}\epsilon})$ on $n$ vertex graphs for $k=d$ == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata,...")
- 12:19, 15 February 2023 Reduction from Max-Weight k-Clique to Maximum Subarray (hist | edit) [623 bytes] Admin (talk | contribs) (Created page with "FROM: Max-Weight k-Clique TO: Maximum Subarray == Description == == Implications == if: to-time: $O(n^{d+\lfloor d/{2}\rfloor-\epsilon})$ for $d$-dimensional hypercube arrays<br/>then: from-time: $O(n^{k-\epsilon})$ on $n$ vertex graphs for $k=d+\lfloor d/{2}\rfloor$ == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automa...")
- 12:19, 15 February 2023 Reduction from Max-Weight K-Clique to Maximum Square Subarray (hist | edit) [596 bytes] Admin (talk | contribs) (Created page with "FROM: Max-Weight K-Clique TO: Maximum Square Subarray == Description == == Implications == if: to-time: $O(n^{d+{1}-\epsilon})$ for $d$-dimensional hypercube arrays<br/>then: from-time: $O(n^{k-\epsilon})$ on $n$ vertex graphs for $k=d+{1}$ == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata, Languages, and Programm...")
- 12:19, 15 February 2023 Reduction from Weighted, Undirected APSP to 2D Maximum Subarray (hist | edit) [572 bytes] Admin (talk | contribs) (Created page with "FROM: Weighted, Undirected APSP TO: 2D Maximum Subarray == Description == == Implications == if: to-time: $O(n^{3-\epsilon})$ on $n\times n$ matrices<br/>then: from-time: $O(n^{3-\epsilon/{1}0})$ on $n$ vertex graphs == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Vol. 5...")
- 12:19, 15 February 2023 Reduction from Negative Triangle Detection to 2D Maximum Subarray (hist | edit) [569 bytes] Admin (talk | contribs) (Created page with "FROM: Negative Triangle Detection TO: 2D Maximum Subarray == Description == == Implications == if: to-time: $O(n^{3-\epsilon})$ on $n\times n$ matrices<br/>then: from-time: $O(n^{3-\epsilon})$ on $n$ vertex graphs == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Vol. 55....")
- 12:19, 15 February 2023 Reduction from Max-Weight k-Clique to Max-Weight Rectangle (hist | edit) [616 bytes] Admin (talk | contribs) (Created page with "FROM: Max-Weight k-Clique TO: Max-Weight Rectangle == Description == == Implications == if: to-time: $O(N^{d-\epsilon})$ on $N$ weighted points in $d$ dimensions<br/>then: from-time: $O(n^{k-\epsilon})$ on $n$ vertices, where $k=\lceil d^{2}\epsilon^{-1}\rceil$ == Year == 2016 == Reference == Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata, Lan...")
- 12:19, 15 February 2023 Reduction from Bichromatic Hamming Close Pair to Approximate Hard-Margin SVM (hist | edit) [701 bytes] Admin (talk | contribs) (Created page with "FROM: Bichromatic Hamming Close Pair TO: Approximate Hard-Margin SVM == Description == == Implications == assume: SETH<br/>then: let $k(a,a')$ be the Gaussian kernel with $C={100}\log n$ and let $\epsilon = \exp(-\omega(\log^{2} n))$, then approximating the optimal value of target within multiplicative factor ${1}+\epsilon$ requires almost quadratic time. == Year == 2017 == Reference == Backurs, A., Indyk, P., & Schmidt, L. (2017). On the fine-graine...")
- 12:19, 15 February 2023 Reduction from Maximum Inner Product Search to Stable Pair Checking (hist | edit) [641 bytes] Admin (talk | contribs) (Created page with "FROM: Maximum Inner Product Search TO: Stable Pair Checking == Description == == Implications == assume: OVH<br/>then: for any $\epsilon > {0}$, there is a $c$ such that determining whether a given pair is part of any or all stable matchings in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$ == Year == 2016 == Reference == Moeller, Daniel, Ramamohan Paturi, and Stefan Schneider. "Subquadratic algor...")
- 12:19, 15 February 2023 Reduction from Maximum Inner Product Search to Stable Matching Verification (hist | edit) [585 bytes] Admin (talk | contribs) (Created page with "FROM: Maximum Inner Product Search TO: Stable Matching Verification == Description == == Implications == assume: OVH<br/>then: for an $\epsilon > {0}$ there is a $c$ such that verifying a stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon}). == Year == 2016 == Reference == Moeller, Daniel, Ramamohan Paturi, and Stefan Schneider. "Subquadratic algorithms for succinct stable matching." I...")
- 12:19, 15 February 2023 Reduction from Maximum Inner Product Search to Boolean d-Attribute Stable Matching (hist | edit) [591 bytes] Admin (talk | contribs) (Created page with "FROM: Maximum Inner Product Search TO: Boolean d-Attribute Stable Matching == Description == == Implications == assume: OVH<br/>then: for an $\epsilon > {0}$ there is a $c$ such that finding a stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$. == Year == 2016 == Reference == Moeller, Daniel, Ramamohan Paturi, and Stefan Schneider. "Subquadratic algorithms for succinct stable matchi...")
- 12:19, 15 February 2023 Reduction from OV to Disjunctive Queries of Safety in Graphs (hist | edit) [590 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Disjunctive Queries of Safety in Graphs == Description == == Implications == assume: OVH<br/>then: there is no $O(m^{2-\epsilon})$ or $O((k \cdot m)^{1 - \epsilon})$ algorithm for any $\epsilon > {0}$ for disjunctive safety ovjectives/queries in MDPs. == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds: Disjunction is harder than conjunction." Proceedings of the 31s...")
- 12:19, 15 February 2023 Reduction from OV to Disjunctive Queries of Reachability in MDPs (hist | edit) [563 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Disjunctive Queries of Reachability in MDPs == Description == == Implications == assume: Strong Triangle<br/>then: there is no $O(m^{2-\epsilon})$ or $O((k \cdot m)^{1-\epsilon})$ algorithm, for any $\epsilon > {0}$ for target. == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds: Disjunction is harder than conjunction." Proceedings of the 31st Annual ACM/IEEE Sympos...")
- 12:19, 15 February 2023 Reduction from Triangle Detection to Disjunctive Queries of Safety in Graphs (hist | edit) [642 bytes] Admin (talk | contribs) (Created page with "FROM: Triangle Detection TO: Disjunctive Queries of Safety in Graphs == Description == == Implications == assume: Strong Triangle<br/>then: there is no combinatorial $O(n^{3-\epsilon})$ or $O((k \cdot n^{2})^{1-\epsilon})$ algorithm, for any $\epsilon > {0}$ for disjunctive safety (objectives or queries) in graphs. == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds: Disjunction...")
- 12:19, 15 February 2023 Reduction from Triangle Detection to Disjunctive Queries of Reachability in MDPs (hist | edit) [653 bytes] Admin (talk | contribs) (Created page with "FROM: Triangle Detection TO: Disjunctive Queries of Reachability in MDPs == Description == == Implications == assume: Strong Triangle<br/>then: there is no combinatorial $O(n^{3-\epsilon})$ or $O((k \cdot n^{2})^{1-\epsilon})$ algorithm for any $\epsilon > {0}$ for target. The bounds holf for dense MDPs with $m=\Theta(n^{2})$ == Year == 2016 == Reference == Chatterjee, Krishnendu, et al. "Model and objective separation with conditional lower bounds:...")
- 12:19, 15 February 2023 Reduction from OV to Generalized Büchi Games (hist | edit) [678 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Generalized Büchi Games == Description == == Implications == assume: OVH<br/>then: there is no $O(m^{2-\epsilon})$ or $O(\min_{1 \leq i \leq k} b_i \cdot (k \cdot m)^{1-\epsilon})$-time algorithm (for any $\epsilon > {0}$ for generalized Büchi games. In particular there is no such algorithm for deciding whether the winning set is non-empty or deciding whether a specifc vertex is in the winning set. == Year == 2016 == Reference == Chat...")
- 12:19, 15 February 2023 Reduction from Triangle Detection to Disjunctive coBüchi Objectives (hist | edit) [692 bytes] Admin (talk | contribs) (Created page with "FROM: Triangle Detection TO: Disjunctive coBüchi Objectives == Description == == Implications == assume: Strong Triangle<br/>then: there is no combinatorial $O(n^{3-\epsilon})$ or $O((k\cdot n^{2})^{1-\epsilon})$-time algorithm for any $epsilon > {0}$ for generalized Büchi games. In particular, there is no such algorithm deciding whether the winning set is non-empty or deciding whether a specific vertex is in the winning set. == Year == 2016 == Refer...")
- 12:19, 15 February 2023 Reduction from OV to Largest Common Subtree (hist | edit) [563 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Largest Common Subtree == Description == == Implications == assume: OVH<br/>then: for all constants $d \geq {2}$, target on two rooted trees of size at most $n$, degree $d$, and height $h \leq \log_d n + O(\log \log n)$ cannot be solved in truly subquadtratic $O(n^{2-\epsilon})$ time == Year == 2018 == Reference == Abboud, A., Backurs, A., Hansen, T. D., Vassilevska Williams, V., & Zamir, O. (2018). Subtree isomorphism revisited. ACM Tra...")
- 12:19, 15 February 2023 Reduction from k-SAT to Subset Sum (hist | edit) [544 bytes] Admin (talk | contribs) (Created page with "FROM: k-SAT TO: Subset Sum == Description == == Implications == assume: SETH<br/>then: for any $\epsilon > {0}$ there exists a $\delta > {0}$ such that Subset Sum is not in time $O(T^{1-\epsilon}{2}^{\delta n})$, and $k$-Sum is not in time $O(T^{1-\epsilon}n^{\delta k})$ == Year == 2022 == Reference == Abboud, A., Bringmann, K., Hermelin, D., & Shabtay, D. (2022). SETH-based lower bounds for subset sum and bicriteria path. ACM Transactions on Algorit...")
- 12:19, 15 February 2023 Reduction from OV to Subtree Isomorphism (hist | edit) [557 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Subtree Isomorphism == Description == == Implications == assume: OVH<br/>then: for all $d \geq {2}$, target on two rooted unordered trees of size $O(n)$, degree $d$, and height $h \leq {2}\log_d n + O(\log \log n)$ cannot be solved in truly subquadratic $O(n^{2-\epsilon})$ time == Year == 2018 == Reference == Abboud, A., Backurs, A., Hansen, T. D., Vassilevska Williams, V., & Zamir, O. (2018). Subtree isomorphism revisited. ACM Transacti...")
- 12:19, 15 February 2023 Reduction from k-Clique to RNA Folding (hist | edit) [590 bytes] Admin (talk | contribs) (Created page with "FROM: k-Clique TO: RNA Folding == Description == == Implications == assume: k-Clique Hypothesis<br/>then: there is no $O(N^{\omega-\epsilon}) time algorithm for target for any $\epsilon > {0}$ == Year == 2017 == Reference == Abboud, A., Backurs, A., Bringmann, K., & Künnemann, M. (2017, October). Fine-grained complexity of analyzing compressed data: Quantifying improvements over decompress-and-solve. In 2017 IEEE 58th Annual Symposium on Foundations...")
- 12:19, 15 February 2023 Reduction from k-Clique to CFG Recognition (hist | edit) [594 bytes] Admin (talk | contribs) (Created page with "FROM: k-Clique TO: CFG Recognition == Description == == Implications == assume: k-Clique Hypothesis<br/>then: there is no $O(N^{\omega-\epsilon}) time algorithm for target for any $\epsilon > {0}$ == Year == 2017 == Reference == Abboud, A., Backurs, A., Bringmann, K., & Künnemann, M. (2017, October). Fine-grained complexity of analyzing compressed data: Quantifying improvements over decompress-and-solve. In 2017 IEEE 58th Annual Symposium on Foundat...")
- 12:19, 15 February 2023 Reduction from OV to Bichromatic Hamming Close Pair (hist | edit) [525 bytes] Admin (talk | contribs) (Created page with "FROM: OV TO: Bichromatic Hamming Close Pair == Description == == Implications == assume: OVH<br/>then: there is no algorithm to solve target in time $O({2}^{o(d)}n^{2-\epsilon})$ on a set of $n$ points in $\{0,{1}\}^{c\log n}$ == Year == 2015 == Reference == Alman, J., & Williams, R. (2015, October). Probabilistic polynomials and hamming nearest neighbors. In 2015 IEEE 56th Annual Symposium on Foundations of Computer Science (pp. 136-150). IEEE. htt...")
- 12:19, 15 February 2023 Reduction from CNF-SAT to sensitive incremental ST-Reach (hist | edit) [590 bytes] Admin (talk | contribs) (Created page with "FROM: CNF-SAT TO: sensitive incremental ST-Reach == Description == == Implications == assume: SETH<br/>then: let $\epsilon > {0}$, $t \in \mathbb{N}$, there exists no algorithm for target with preprocessing time $O(n^t)$, update time $u(n)$ and query time $q(n)$, such that $max\{u(n),q(n)\}=O(n^{1-\epsilon})$ with constant sensitivity $K(\epsilon,t)$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Co...")
- 12:19, 15 February 2023 Reduction from CNF-SAT to constant sensitivity (4/3)-approximate incremental diameter (hist | edit) [619 bytes] Admin (talk | contribs) (Created page with "FROM: CNF-SAT TO: constant sensitivity (4/3)-approximate incremental diameter == Description == == Implications == assume: SETH<br/>then: let $\epsilon > {0}$, $t \in \mathbb{N}$, there exists no algorithm for target with preprocessing time $O(n^t)$, update time $u(n)$ and query time $q(n)$, such that $max\{u(n),q(n)\}=O(n^{1-\epsilon})$ with constant sensitivity $K(\epsilon,t)$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S.,...")
- 12:19, 15 February 2023 Reduction from Directed, Weighted APSP to 1-sensitive decremental diameter (hist | edit) [545 bytes] Admin (talk | contribs) (Created page with "FROM: Directed, Weighted APSP TO: 1-sensitive decremental diameter == Description == == Implications == assume: APSP Hypothesis<br/>then: target cannot be solved with preprocessing time $O(n^{3-\epsilon})$ and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected weighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems....")
- 12:19, 15 February 2023 Reduction from CNF-SAT to sensitive incremental (hist | edit) [586 bytes] Admin (talk | contribs) (Created page with "FROM: CNF-SAT TO: sensitive incremental #SSR == Description == == Implications == assume: SETH<br/>then: let $\epsilon > {0}$, $t \in \mathbb{N}$, there exists no algorithm for target with preprocessing time $O(n^t)$, update time $u(n)$ and query time $q(n)$, such that $max\{u(n),q(n)\}=O(n^{1-\epsilon})$ with constant sensitivity $K(\epsilon,t)$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Condit...")
- 12:19, 15 February 2023 Reduction from Directed, Weighted APSP to 2-sensitive decremental st-shortest paths (hist | edit) [554 bytes] Admin (talk | contribs) (Created page with "FROM: Directed, Weighted APSP TO: 2-sensitive decremental st-shortest paths == Description == == Implications == assume: APSP Hypothesis<br/>then: target cannot be solved with preprocessing time $O(n^{3-\epsilon})$ and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected weighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity p...")
- 12:19, 15 February 2023 Reduction from Replacement Paths Problem (RPP) to 1-sensitive decremental st-shortest paths (hist | edit) [560 bytes] Admin (talk | contribs) (Created page with "FROM: Replacement Paths Problem (RPP) TO: 1-sensitive decremental st-shortest paths == Description == == Implications == assume: APSP Hypothesis<br/>then: target cannot be solved with preprocessing time $O(n^{3-\epsilon})$ and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in directed weighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensiti...")
- 12:19, 15 February 2023 Reduction from BMM to 1-sensitive decremental st-shortest paths (hist | edit) [547 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 1-sensitive decremental st-shortest paths == Description == == Implications == assume: BMM<br/>then: for directed unweighted graphs with $n$ vertices and $m \geq n$ edges require either $m^{1-o({1})}\sqrt{n}$ preprocessing time or $m^{1-o({1})}/\sqrt{n}$ query time for every function $m$ of $n$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems...")
- 12:19, 15 February 2023 Reduction from BMM to 1-sensitive (4/3)-approximate decremental eccentricity (hist | edit) [527 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 1-sensitive (4/3)-approximate decremental eccentricity == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arX...")
- 12:19, 15 February 2023 Reduction from BMM to 1-sensitive (4/3)-approximate decremental diameter (hist | edit) [555 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 1-sensitive (4/3)-approximate decremental diameter == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected unweighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity...")
- 12:19, 15 February 2023 Reduction from BMM to (5/3)-approximate ap-shortest paths (hist | edit) [508 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: (5/3)-approximate ap-shortest paths == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arXiv:1703.01638. htt...")
- 12:19, 15 February 2023 Reduction from BMM to 1-sensitive (3/2)-approximate ss-shortest paths (hist | edit) [552 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 1-sensitive (3/2)-approximate ss-shortest paths == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected unweighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity pro...")
- 12:19, 15 February 2023 Reduction from BMM to 2-sensitive (7/5)-approximate st-shortest paths (hist | edit) [552 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 2-sensitive (7/5)-approximate st-shortest paths == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected unweighted graphs == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity pro...")
- 12:19, 15 February 2023 Reduction from BMM to ap-reach (hist | edit) [481 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: ap-reach == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arXiv:1703.01638. https://arxiv.org/pdf/1703.016...")
- 12:19, 15 February 2023 Reduction from BMM to 2-sensitive incremental st-reach (hist | edit) [505 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 2-sensitive incremental st-reach == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arXiv:1703.01638. https:...")
- 12:19, 15 February 2023 Reduction from BMM to 1-sensitive incremental ss-reach (hist | edit) [505 bytes] Admin (talk | contribs) (Created page with "FROM: BMM TO: 1-sensitive incremental ss-reach == Description == == Implications == assume: BMM<br/>then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ == Year == 2017 == Reference == Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arXiv:1703.01638. https:...")
- 12:19, 15 February 2023 Reduction from Triangle Collection* to dynamic 4/3-Diameter (hist | edit) [666 bytes] Admin (talk | contribs) (Created page with "FROM: Triangle Collection* TO: dynamic 4/3-Diameter == Description == == Implications == assume: SETH or {3}SUM Hypothesis or APSP Hypothesis<br/>then: there exists no incremental (or decremental) algorithm that approximates the diameter of unweighted graph within a factor of ${4}/{3}-\epsilon$ running in amortized time $O(n^{1/{2}-\epsilon'})$ for any $\epsilon,\epsilon' > {0}$. Furthermore, if we allow node insertions in the incremental case the bound is...")