Girths of bipartite sextet graphs

Combinatorica volume 4, pages241–245(1984)Cite this article

Abstract

An explicit construction of Biggs and Hoare yields an infinite family of bipartite cubic graphs. We prove that the ordern and girthg of each of these graphs are related by log2 n<3/4·g+3/2.

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References

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Affiliations

  1. Dept. of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Alfred Weiss

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  1. Alfred Weiss
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Weiss, A. Girths of bipartite sextet graphs. Combinatorica 4, 241–245 (1984). https://doi.org/10.1007/BF02579225

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AMS subject classification (1980)

  • 05 C 38
  • 05 C 25
  • 05 B 25