activity
20062025
most citedA Refined Laser Method and Faster Matrix Multiplication

49 citations · 193 across the 39 of their papers we have counts for

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Showing 2023Show all

7 papers · 1 filter

cs.DS2023

Approximating Min-Diameter: Standard and Bichromatic

Aaron Berger, Jenny Kaufmann, Virginia Vassilevska Williams

The min-diameter of a directed graph is a measure of the largest distance between nodes. It is equal to the maximum min-distance across all pairs ,…

cs.DS2023

On Diameter Approximation in Directed Graphs

Amir Abboud, Mina Dalirrooyfard, Ray Li +1

Computing the diameter of a graph, i.e. the largest distance, is a fundamental problem that is central in fine-grained complexity. In undirected graphs, the Strong Exponential Time…

cs.DS2023

Faster Detours in Undirected Graphs

Shyan Akmal, Virginia Vassilevska Williams, Ryan Williams +1

The -Detour problem is a basic path-finding problem: given a graph on vertices, with specified nodes and , and a positive integer , the goal is to determine if…

cs.DS2023

Towards Optimal Output-Sensitive Clique Listing or: Listing Cliques from Smaller Cliques

Mina Dalirrooyfard, Surya Mathialagan, Virginia Vassilevska Williams +1

We study finding and listing -cliques in a graph, for constant , a fundamental problem of both theoretical and practical importance. Our main contribution is a new outp…

cs.DS2023

Fast 2-Approximate All-Pairs Shortest Paths

Michal Dory, Sebastian Forster, Yael Kirkpatrick +3

In this paper, we revisit the classic approximate All-Pairs Shortest Paths (APSP) problem in undirected graphs. For unweighted graphs, we provide an algorithm for -approximate A…

cs.DS2023

New Bounds for Matrix Multiplication: from Alpha to Omega

Virginia Vassilevska Williams, Yinzhan Xu, Zixuan Xu +1

The main contribution of this paper is a new improved variant of the laser method for designing matrix multiplication algorithms. Building upon the recent techniques of [Duan, Wu,…