On the chromatic number of multiple interval graphs and overlap graphs

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On the chromatic number of multiple interval graphs and overlap graphs

Let x(G) and w(G) denote the chromatic number and clique number (maximum size of a clique) of a graph G. To avoid trivial cases, we always assume that w (G);?: 2. It is well known that interval graphs are perfect, in particular x( G)= w (G) for every interval graph G. In this paper we study the closeness of x and w for two well-known non-perfect relatives of interval graphs: multiple interval g...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1985

ISSN: 0012-365X

DOI: 10.1016/0012-365x(85)90044-5