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Decomposing berge graphs containing no proper wheels, long prisms or their complements

Conforti, Michele, Cornuéjols, Gérard and Zambelli, Giacomo (2006) Decomposing berge graphs containing no proper wheels, long prisms or their complements. Combinatorica, 26 (5). 533-558. ISSN 0209-9683

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Abstract

In this paper we show that, if G is a Berge graph such that neither G nor its complement Ḡ contains certain induced subgraphs, named proper wheels and long prisms, then either G is a basic perfect graph( a bipartite graph, a line graph of a bipartite graph or the complement of such graphs) or it has a skew partition that cannot occur in a minimally imperfect graph. This structural result implies that G is perfect.

Item Type: Article
Official URL: http://www.springer.com/mathematics/numbers/journa...
Additional Information: © 2006 J´anos Bolyai Mathematical Society and Springer-Verlag
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 25 Jan 2011 15:54
URL: http://eprints.lse.ac.uk/31699/

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