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
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.
|Additional Information:||© 2006 J´anos Bolyai Mathematical Society and Springer-Verlag|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Management|
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