Augmenting Edge Connectivity via Isolating Cuts
Ruoxu Cen, Jason Li, Debmalya Panigrahi · Society for Industrial and Applied Mathematics eBooks · 2022
We give an algorithm for augmenting the edge connectivity of an undirected graph by using the isolating cuts framework (Li and Panigrahi, FOCS ‘20). Our algorithm uses poly-logarithmic calls to any max-flow algorithm, which yields a running time of Õ(m + n3/2) and improves on the previous best time of Õ(n2) (Benczúr and Karger, SODA ‘98) for this problem. We also obtain an identical improvement in the running time of the closely related edge splitting off problem in undirected graphs.