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Almost all Berge Graphs are Perfect

Published online by Cambridge University Press:  12 September 2008

Hans Jürgen Prömel  and
Angelika Steger
Hans Jürgen Prömel
Affiliation:
Institut für Diskrete Mathematik, Universität Bonn, Nassestr. 2, 5300 Bonn, Germany
Angelika Steger
Affiliation:
Institut für Diskrete Mathematik, Universität Bonn, Nassestr. 2, 5300 Bonn, Germany
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Abstract

Let Per f(n) denote the set of all perfect graphs on n vertices and let Berge(n) denote the set of all Berge graphs on n vertices. The strong perfect graph conjecture states that Per f(n) = Berge(n) for all n. In this paper we prove that this conjecture is at least asymptotically true, i.e. we show that

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 1 , March 1992 , pp. 53 - 79
Copyright
Copyright © Cambridge University Press 1992

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