Article ID Journal Published Year Pages File Type
4650988 Discrete Mathematics 2007 6 Pages PDF
Abstract

‘Chordal multipartite graphs’ are properly colored graphs such that two vertices in a minimal vertex separator are adjacent if and only if they are differently colored. They have induced cycle characterizations that transcend those of chordal and chordal bipartite graphs. Graphs that have such ‘chordal colorings’ are weakly chordal graphs with simple forbidden subgraph characterizations, and such a chordal coloring of a graph G   requires only χ(G)χ(G) colors.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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