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Discrete Mathematics
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Applications of hypergraph coloring to coloring graphs not inducing certain trees

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1996 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 150, pages 187-193 (issn: 0012-365X, Copyright policy )
Authors: Vojtěch Rödl; Hal A. Kierstead;

doi: 10.1016/0012-365x(95)00187-2

Applications of hypergraph coloring to coloring graphs not inducing certain trees

Abstract

The authors present a simple result on coloring hypergraphs and use it to obtain bounds on the chromatic number of graphs which do not induce certain trees. Several open problems are discussed.

Related Organizations
Keywords

Coloring of graphs and hypergraphs, hypergraphs, chromatic number, open problems, Discrete Mathematics and Combinatorics, trees, Hypergraphs, coloring, Trees, Theoretical Computer Science

  • BIP!
    Impact byBIP!
    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).
    		 18
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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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!
18
Top 10%
Top 10%
Average
hybrid