Reduction from Matrix Product to Negative Triangle Detection: Difference between revisions
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Latest revision as of 10:45, 28 April 2023
FROM: Matrix Product TO: Negative Triangle Detection
Description
Generic runtime but with $T(n)$ s.t. $T(n)/n^2$ is decreasing
Implications
if: to-time: $T(n)$ where $T(n)/n^{2}$ is decreasing
then: from-time: $O(n^{2} \cdot T(n^{1/3})\log n)$ for two $n\times n$ matrices with high probability
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 4.5