Reduction from Nondecreasing Triangle to Triangle in Unweighted Graph

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Revision as of 10:55, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: Nondecreasing Triangle TO: Triangle in Unweighted Graph == Description == == Implications == if: to-time: $T(n)$ for unweighted graph<br/>then: from-time: $O(n^{3/2} \sqrt{T(O(n))})$ == Year == 2018 == Reference == V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018. https://dl.acm.org/doi/pdf/10.1145/3186893, Theorem 7.1")
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FROM: Nondecreasing Triangle TO: Triangle in Unweighted Graph

Description

Implications

if: to-time: $T(n)$ for unweighted graph
then: from-time: $O(n^{3/2} \sqrt{T(O(n))})$

Year

2018

Reference

V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018.

https://dl.acm.org/doi/pdf/10.1145/3186893, Theorem 7.1