Minimum Cuts in Directed Graphs via √(n) Max-Flows

04/16/2021
by   Ruoxu Cen, et al.
0

We give an algorithm to find a mincut in an n-vertex, m-edge weighted directed graph using Õ(√(n)) calls to any maxflow subroutine. Using state of the art maxflow algorithms, this yields a directed mincut algorithm that runs in Õ(m√(n) + n^2) time. This improves on the 30 year old bound of Õ(mn) obtained by Hao and Orlin for this problem.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset