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
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 |
| Date Deposited: | 25 Jan 2011 15:54 |
| URL: | http://eprints.lse.ac.uk/31699/ |
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