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Algorithms & Randomness Center (ARC)
Debmalya Panigrahi (Duke University)
October 10, 2022
Klaus 1116 - 11:00 am
Title: All-Pairs Minimum Cuts in Nearly Quadratic Time
Abstract: In 1961, Gomory and Hu showed the surprising result that minimum cuts between all pairs of vertices in an undirected graph can be retrieved from only a linear number of (single-pair) minimum cut computations. This has remained the state-of-the-art for the all-pairs minimum cuts problem for the last 60 years, and takes at least cubic time in the number of vertices. In this talk, I will give a new algorithm that breaks this longstanding barrier and solves the all-pairs minimum cuts problem in nearly quadratic time.
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Videos of recent talks are available at: https://smartech.gatech.edu/handle/1853/46836 and http://arc.gatech.edu/node/121
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