Reduction from CNF-SAT to Frechet Distance

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Revision as of 11:18, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: CNF-SAT TO: Frechet Distance == Description == == Implications == If: to-time: $O({2}^{({2}-\epsilon)}$ for any $\epsilon > {0}$<br/>Then: from-time: $O({2}^{({1}-\delta/{2})N}$ where $N$ is s.t there are $n=\tilde{O}({2}^{N/2})$ vertices on each curve == Year == 2014 == Reference == Karl Bringmann, Why walking the dog takes time: Fréchet distance has no strongly subquadratic algorithms unless SETH fails https://people.mpi-inf.mpg.de/~kbringm...")
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FROM: CNF-SAT TO: Frechet Distance

Description

Implications

If: to-time: $O({2}^{({2}-\epsilon)}$ for any $\epsilon > {0}$
Then: from-time: $O({2}^{({1}-\delta/{2})N}$ where $N$ is s.t there are $n=\tilde{O}({2}^{N/2})$ vertices on each curve

Year

2014

Reference

Karl Bringmann, Why walking the dog takes time: Fréchet distance has no strongly subquadratic algorithms unless SETH fails

https://people.mpi-inf.mpg.de/~kbringma/paper/2014FOCS.pdf