Chen; I. Kanj; and W. Jia. (The Vertex Cover Problem The Vertex Cover Problem): Difference between revisions
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(Created page with "== Time Complexity == $O({1.2738}^k+ kn)$ == Space Complexity == $O(poly(n))$ words (https://www.cs.lafayette.edu/~gexia/research/mfcs06.pdf) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 2006 == Reference == https://www.cs.lafayette.edu/~gexia/research/mfcs06.pdf") |
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== Time Complexity == | == Time Complexity == | ||
$O({1. | $O(kn + {1.2852}^k)$ | ||
== Space Complexity == | == Space Complexity == | ||
$O( | $O(k^{3})$ auxiliary? (potentially $O(k^{2})$??) words | ||
( | (First auxiliary graph contains O(k^2) edges; algorithm subsequently branches to a depth of O(k) (each fork being degree O(1)), with a new O(k^2)-sized graph at each depth. Interleaving shouldn't increase space usage asymptotically. (Could possibly be reduced to O(k) by just keeping track of graph deltas?) (but also a different source claims exponential?)) | ||
== Description == | == Description == | ||
| Line 27: | Line 27: | ||
== Year == | == Year == | ||
2001 | |||
== Reference == | == Reference == | ||
https:// | https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.7.4800&rep=rep1&type=pdf | ||
Revision as of 12:16, 15 February 2023
Time Complexity
$O(kn + {1.2852}^k)$
Space Complexity
$O(k^{3})$ auxiliary? (potentially $O(k^{2})$??) words
(First auxiliary graph contains O(k^2) edges; algorithm subsequently branches to a depth of O(k) (each fork being degree O(1)), with a new O(k^2)-sized graph at each depth. Interleaving shouldn't increase space usage asymptotically. (Could possibly be reduced to O(k) by just keeping track of graph deltas?) (but also a different source claims exponential?))
Description
Approximate?
Exact
Randomized?
No, deterministic
Model of Computation
Word RAM
Year
2001
Reference
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.7.4800&rep=rep1&type=pdf