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Explicit construction of regular graphs without small cycles

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Abstract

For every integerd>2 we give an explicit construction of infinitely many Cayley graphsX of degreed withn(X) vertices and girth >0.4801...(logn(X))/log (d−1)−2. This improves a result of Margulis.

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References

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Authors and Affiliations

  1. Institut für Mathematik und Angewandte Geometrie, Montanuniversität Leoben, A-8700, Leoben, Austria

    Wilfried Imrich

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  1. Wilfried Imrich
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Dedicated to Paul Erdős on his seventieth birthday

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Imrich, W. Explicit construction of regular graphs without small cycles. Combinatorica 4, 53–59 (1984). https://doi.org/10.1007/BF02579157

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  • DOI: https://doi.org/10.1007/BF02579157

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