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The connectivities of locally finite primitive graphs

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Abstract

Letγ be an infinite, locally finite graph whose automorphism group is primitive on its vertex set. It is shown that the connectivity ofγ cannot equal 2, but all other values 0, 1, 3, 4, ... are possible.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische UniversitÄt Berlin, StraΒe des 17. Juni 136, 1000, Berlin 12 (West), Germany

    H. A. Jung

  2. Department of Mathematics, Syracuse University, 13244-1150, Syracuse, New York, USA

    M. E. Watkins

Authors
  1. H. A. Jung
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  2. M. E. Watkins
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Jung, H.A., Watkins, M.E. The connectivities of locally finite primitive graphs. Combinatorica 9, 261–267 (1989). https://doi.org/10.1007/BF02125895

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  • DOI: https://doi.org/10.1007/BF02125895

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