Reduction from All Pairs Minimum Witness (APMW) to Negative Triangle Detection

FROM: All Pairs Minimum Witness (APMW) TO: Negative Triangle Detection

Implications

if: to-time: $T(n)$
then: from-time: $O(T(n^{1/3})n^{2})$

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, Lemma 4.5