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Graphs and Combinatorics
Article . 2009 . Peer-reviewed
License: Springer TDM
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On b-perfect Chordal Graphs

On b-perfect chordal graphs
Authors: Maffray, Frédéric; Mechebbek, Meriem;

On b-perfect Chordal Graphs

Abstract

The b-chromatic number of a graph G is the largest integer k such that G has a coloring of the vertices in k color classes such that every color class contains a vertex that has a neighbour in all other color classes. We characterize the class of chordal graphs for which the b-chromatic number is equal to the chromatic number for every induced subgraph.

Country
France
Keywords

Extremal problems in graph theory, Perfect graphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], chordal graphs, forbidden subgraph, 004, 510, Coloring of graphs and hypergraphs, b-coloring, Computer Science - Discrete Mathematics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
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!
6
Average
Top 10%
Average
Green
bronze