Ahypergraph-free construction of highly chromatic graphs without short cycles

Combinatorica volume 9, pages227–229(1989)Cite this article

Abstract

We present a purely graph-theoretical construction of highly chromatic graphs without short cycles.

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References

  1. [1]

    L. Lovász, On chromatic numbers of graphs and set systems,Acta Math. Acad. Sci. Hungar.,17 (1966), 61–99.

    Google Scholar 

  2. [2]

    J. Nešetřil,k-chromatic graphs without cycles of length ≦ 7,Comment. Math. Univ. Carol.,7 (1966), 373–376.

    Google Scholar 

  3. [3]

    J. Nešetřil, Amalgamation of graphs and its application,Ann. New York Acad. Sci.,319. New York (1979), 415–428.

    Google Scholar 

  4. [4]

    J. Nešetřil andV. Rödl, A Short Proof of the Existence of Highly Chromatic Hypergraphs without Short Cycles,J.C.T.,27 (1979), 225–227.

    Google Scholar 

  5. [5]

    H. Walther andH. J. Voss,Über Kreise in Graphen, Deutscher Verlag der Wissenschaften, Berlin, 1974.

    Google Scholar 

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Affiliations

  1. Department of Mathematics, Ohio State University, 43210, Columbus, Ohio, USA

    Igor Kříž

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  1. Igor Kříž
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Kříž, I. Ahypergraph-free construction of highly chromatic graphs without short cycles. Combinatorica 9, 227–229 (1989). https://doi.org/10.1007/BF02124683

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AMS subject classification (1980)

  • 05 C 15