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cs.DS2024
Undirected 3-Fault Replacement Path in Nearly Cubic Time
Shucheng Chi, Ran Duan, Benyu Wang +1
Given a graph and two vertices , the -fault replacement path (FRP) problem computes for every set of edges where , the distance from to…
cs.DS2024
More Asymmetry Yields Faster Matrix Multiplication
Josh Alman, Ran Duan, Virginia Vassilevska Williams +3
We present a new improvement on the laser method for designing fast matrix multiplication algorithms. The new method further develops the recent advances by [Duan, Wu, Zhou FOCS 20…