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Discrete Mathematics
Article
License: Elsevier Non-Commercial
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Discrete Mathematics
Article . 2007
License: Elsevier Non-Commercial
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Discrete Mathematics
Article . 2007 . Peer-reviewed
License: Elsevier Non-Commercial
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Chordal multipartite graphs and chordal colorings

Authors: Terry A. McKee;

Chordal multipartite graphs and chordal colorings

Abstract

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) colors.

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Keywords

Chordal graph, Coloring, Discrete Mathematics and Combinatorics, Vertex separator, Chordal bipartite graph, Theoretical Computer Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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