Reduction from Directed, Weighted APSP to Negative Triangle Detection

FROM: Directed, Weighted APSP TO: Negative Triangle Detection

Implications

if: to-time: $n^{3-\epsilon}$ for some $\epsilon >{0}$
then: from-time: $n^{3-\epsilon'}$ for some $\epsilon' > {0}$

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