Cograph editing: complexity and parameterized algorithms

Authors:
Yunlong Liu;Jianxin Wang;Jiong Guo;Jianer Chen
Affiliations:
School of Mathematics and Computer Science, Hunan Normal University, Changsha, P.R. China;School of Information Science and Engineering, Central South University, Changsha, P.R. China;Universität des Saarlandes, Saarbrücken, Germany;School of Information Science and Engineering, Central South University, Changsha, P.R. China and Department of Computer Science and Engineering, Texas A&M University, College Station, TX
Venue:
COCOON'11 Proceedings of the 17th annual international conference on Computing and combinatorics
Year:
2011

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Abstract

Cograph Editing is to find for a given graph G = (V, E) a set of at most k edge additions and deletions that transform G into a cograph. The computational complexity of this problem was open in the past. In this paper, we show that this problem is NP-hard, and present a parameterized algorithm based on a refined search tree technique with a running time of O(4.612k+|V|4.5)), which improves the trivial algorithm of running time O(6k + |V|4.5).