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Infinite cayley graphs of connectivity one

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Theory and Applications of Graphs

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 642))

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Abstract

A characterization of infinite Cayley graphs with vertex-connectivity 1 is given in terms of the multiplicities of isomorphic lobe subgraphs incident with each vertex.

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References

  1. H. A. Jung and M. E. Watkins, On the structure of infinite vertex-transitive graphs. (Submitted for publication.)

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  2. O. Ore, The Theory of Graphs, Amer. Math. Soc., Colloq. Publ. 38, Providence, 1962

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Author information

Authors and Affiliations

  1. Syracuse University, Syracuse, New York, 13210, USA

    Mark E. Watkins

Authors
  1. Mark E. Watkins
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49008, USA

    Yousef Alavi  & Don R. Lick  & 

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© 1978 Springer-Verlag Berlin Heidelberg

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Watkins, M.E. (1978). Infinite cayley graphs of connectivity one. In: Alavi, Y., Lick, D.R. (eds) Theory and Applications of Graphs. Lecture Notes in Mathematics, vol 642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070414

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  • DOI: https://doi.org/10.1007/BFb0070414

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08666-6

  • Online ISBN: 978-3-540-35912-8

  • eBook Packages: Springer Book Archive

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