Maffrey, F, Trotignon, N and Vuskovic, K (2008) Algorithms for square3PC($\cdot, \cdot$)free Berge graphs. SIAM Journal on Discrete Mathematics, 22 (1). 51  71 . ISSN 08954801
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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 squarefree Berge graphs. We give a combinatorial algorithm of complexity $O(n^{7})$ to find a clique of maximum weight in such a graph. We also consider several subgraphdetection problems related to this class.
Item Type:  Article 

Academic Units:  The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) 
Depositing User:  Mrs Irene Rudling 
Date Deposited:  22 Oct 2012 13:01 
Last Modified:  08 Feb 2013 17:39 
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/74366 
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Algorithms for square3PC(·, ·)free Berge graphs. (deposited 05 Mar 2009 18:39)
 Algorithms for square3PC($\cdot, \cdot$)free Berge graphs. (deposited 22 Oct 2012 13:01) [Currently Displayed]
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