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Local structure of graphs with λ=μ=2,a 2=4

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Abstract

Several properties of graphs with λ=μ=2,a 2=4 are studied. It is proved that such graphs are locally unions of triangles, hexagons or heptagons. As a consequence, a distance regular graph with intersection array (13,10,7;1,2,7) does not exist.

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References

  1. A. E. Brouwer, A. M. Cohen, andA. Neumaier:Distance-regular Graphs, Springer Verlag, Berlin, 1989.

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Authors and Affiliations

  1. Dept. of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, B-9000, Gent, Belgium

    K. Coolsaet

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  1. K. Coolsaet
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Coolsaet, K. Local structure of graphs with λ=μ=2,a 2=4. Combinatorica 15, 481–487 (1995). https://doi.org/10.1007/BF01192521

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  • DOI: https://doi.org/10.1007/BF01192521

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