Gomory-Hu Trees in Quadratic Time
Data Structures and Algorithms
2021-12-03 v1
Abstract
Gomory-Hu tree [Gomory and Hu, 1961] is a succinct representation of pairwise minimum cuts in an undirected graph. When the input graph has general edge weights, classic algorithms need at least cubic running time to compute a Gomory-Hu tree. Very recently, the authors of [AKL+, arXiv v1, 2021] have improved the running time to which breaks the cubic barrier for the first time. In this paper, we refine their approach and improve the running time to . This quadratic upper bound is also obtained independently in an updated version by the same group of authors [AKL+, arXiv v2, 2021].
Keywords
Cite
@article{arxiv.2112.01042,
title = {Gomory-Hu Trees in Quadratic Time},
author = {Tianyi Zhang},
journal= {arXiv preprint arXiv:2112.01042},
year = {2021}
}