Reduction from Weighted, Undirected APSP to 2D Maximum Subarray

FROM: Weighted, Undirected APSP TO: 2D Maximum Subarray

Implications

if: to-time: $O(n^{3-\epsilon})$ on $n\times n$ matrices
then: from-time: $O(n^{3-\epsilon/{1}0})$ on $n$ vertex graphs

Year

2016

Reference

Backurs, Arturs, Nishanth Dikkala, and Christos Tzamos. "Tight Hardness Results for Maximum Weight Rectangles}}." 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Vol. 55. Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, 2016.

https://arxiv.org/pdf/1602.05837.pdf