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Circular chromatic numbers of some distance graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2005 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 292, pages 119-130 (issn: 0012-365X, Copyright policy )
Authors: Wensong Lin; Peter Che Bor Lam; Zengmin Song;

doi: 10.1016/j.disc.2005.02.004

Circular chromatic numbers of some distance graphs

Abstract

The circular chromatic number of a graph is a natural generalization of the chromatic number (introduced under the name star chromatic number) of a graph. It is the infimum of the ratios \(p/q\) for which there exist \((p,q)\)-colourings of a graph. The authors determine the circular chromatic numbers of some graphs.

Related Organizations
Keywords

Coloring of graphs and hypergraphs, Distance graph, Circular chromatic number, Discrete Mathematics and Combinatorics, Theoretical Computer Science

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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!
5
Average
Average
Average
hybrid