Cut Problems in Graphs with a Budget Constraint. Journal of Discrete Algorithms

Jochen Könemann
Stefano Leonardi
Joseph (Seffi) Naor
J. Discrete Algorithms, 5(2)(2007), pp. 262-279

Abstract

We study budgeted variants of classical cut problems: the Multiway Cut problem, the Multicut problem, and the k-Cut problem, and provide approximation algorithms for these problems. Specifically, for the budgeted multiway cut and the k-cut problems we provide constant factor approximation algorithms. We show that the budgeted multicut problem is at least as hard to approximate as the sparsest cut problem, and we provide a bi-criteria approximation algorithm for it.

Research Areas