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arXiv · 1107.1585

On Multiway Cut parameterized above lower bounds

Marek Cygan·Marcin Pilipczuk·Michał Pilipczuk·Jakub Onufry Wojtaszczyk
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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.

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Marek Cygan, Marcin Pilipczuk, Michał Pilipczuk, Jakub Onufry Wojtaszczyk. 2011-07-08. On Multiway Cut parameterized above lower bounds. https://arxiv.org/abs/1107.1585

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