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An Upper Bound to the Chromatic Number of a Uniform Hypergraph without Cycles of Length Two or Three

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Abstract

In this paper, we establish a new upper bound to the chromatic number of a uniform hypergraph having no cycles of length two or three. The proof is based on a recent lower bound to the chromatic polynomial.

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References

  1. K. Dohmen, A Contribution to the Chromatic Theory of Uniform Hypergraphs, Result. Math. 28 (1995), 49–52.

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Dohmen, K. An Upper Bound to the Chromatic Number of a Uniform Hypergraph without Cycles of Length Two or Three. Results. Math. 36, 55–56 (1999). https://doi.org/10.1007/BF03322101

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  • DOI: https://doi.org/10.1007/BF03322101

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