login

Finding k-cuts within twice the optimal

Published 9 December 2002
Huzur Saran, Vijay V. Vazirani
Citations61

TL;DR

Two simple approximation algorithms are presented for the minimum k-cut problem, requiring a total of only n-1 maximum flow computations for finding a set of near-optimal k-cuts.

Abstract

Two simple approximation algorithms are presented for the minimum k-cut problem. Each algorithm finds a k-cut having weight within a factor of (2-2/k) of the optimal. One of the algorithms is particularly efficient, requiring a total of only n-1 maximum flow computations for finding a set of near-optimal k-cuts, one for each value of k between 2 and n.>

Keywords

Computer Science