On Multiway Cut parameterized above lower bounds

Abstract

In this paper we consider two above lower bound parameterizations of the Node Multiway Cut problem - above the maximum separating cut and above a natural LP-relaxation - and prove them to be fixed-parameter tractable. Our results imply O*(4^k) algorithms for Vertex Cover above Maximum Matching and Almost 2-SAT as well as an O*(2^k) algorithm for Node Multiway Cut with a standard parameterization by the solution size, improving previous bounds for these problems.

References in corpus (2)

• Large Isolating Cuts Shrink the Multiway Cut
• Computing multiway cut within the given excess over the largest minimum isolating cut