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On the connectivities of finite and infinite graphs

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Abstract

Results byW. Mader and the authors on the connectivity of finite graphs are generalized to include infinite graphs. In the infinite case a distinction must be made concerning the distribution of finite and infinite components with respect to the separating sets. Results are obtained relating these components to the atoms.

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References

  1. Jung, H. A.: Über den Zusammenhang von Graphen, mit Anwendungen auf symmetrische Graphen. Math. Ann.202, 307–320 (1973).

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  3. Mader, W.: Eine Eigenschaft der Atome endlicher Graphen. Arch. Math.22, 333–336 (1971).

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  4. Watkins, M. E.: Connectivity of transitive graphs. J. Comb. Th.8, 23–29 (1970).

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Berlin, Straße des 17. Juni, D-1000, Berlin 12

    H. A. Jung

  2. Department of Mathematics, Syracuse University, 13210, Syracuse, NY, U.S.A.

    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. On the connectivities of finite and infinite graphs. Monatshefte für Mathematik 83, 121–131 (1977). https://doi.org/10.1007/BF01534633

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  • DOI: https://doi.org/10.1007/BF01534633

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