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Algorithms for square-3PC(·, ·)-free Berge graphs

Maffray, F., Trotignon, N. and Vuskovic, K. (2008) Algorithms for square-3PC(·, ·)-free Berge graphs. SIAM Journal on Discrete Mathematics, 22 (1). pp. 51-71. ISSN 0895-4801

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Abstract

We consider the class of graphs containing no odd hole, no odd antihole, and no configuration consisting of three paths between two nodes such that any two of the paths induce a hole, and at least two of the paths are of length 2. This class generalizes clawfree Berge graphs and square-free Berge graphs. We give a combinatorial algorithm of complexity O(n7) to find a clique of maximum weight in such a graph. We also consider several subgraph-detection problems related to this class.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Society for Industrial and Applied Mathematics. Reproduced in accordance with the publisher's self-archiving policy.
Keywords: recognition algorithm, maximum weight clique algorithm, combinatorial algorithms, perfect graphs, star decompositions
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Mrs Irene Rudling
Date Deposited: 05 Mar 2009 18:39
Last Modified: 08 Feb 2013 16:57
Published Version: http://dx.doi.org/10.1137/050628520
Status: Published
Publisher: Society for Industrial and Applied Mathematics
Refereed: Yes
Identification Number: 10.1137/050628520
URI: http://eprints.whiterose.ac.uk/id/eprint/5410

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