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Geometries and Groups pp 223–230Cite as

On a class of edge-regular graphs

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 893))

Abstract

A regular graph is 4-regular if any two vertices at distance one resp. two have exactly λ resp. μ common neighbours. Some parameter relations are proved, and certain extremal cases of 4-regular graphs are classified. In particular, we obtain a characterization of double covers of complete graphs related to regular twographs.

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References

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Author information

Authors and Affiliations

  1. Institut f. Angewandte Mathematik, Freiburg, Germany

    A. Neumaier

Authors
  1. A. Neumaier
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Martin Aigner Dieter Jungnickel

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© 1981 Springer-Verlag

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Neumaier, A. (1981). On a class of edge-regular graphs. In: Aigner, M., Jungnickel, D. (eds) Geometries and Groups. Lecture Notes in Mathematics, vol 893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091023

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  • DOI: https://doi.org/10.1007/BFb0091023

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11166-5

  • Online ISBN: 978-3-540-38639-1

  • eBook Packages: Springer Book Archive

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