Reduction from $(\min, \leq)$ Product to Triangle in Unweighted Graph

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FROM: $(\min, \leq)$ Product TO: Triangle in Unweighted Graph

Description

Implications

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

Year

2018

Reference

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

https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem 7.1