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Graphs with given neighborhoods of vertices

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Abstract

This article establishes criteria for existence of finite graphs L in which the neighborhoods of all vertices are isomorphic to a given graph M for the cases in which M is a simple arc and a simple cycle.

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Literature cited

  1. Theory of Graphs and Its Applications (Proc. Symp. Smolenice, 1963), Prague (1964), p. 164–165. See also A. A. Zykov, Theory of Finite Graphs [in Russian], Vol. 1, Chapter 1, Novosibirsk (1967).

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Authors and Affiliations

  1. Mathematics Institute, Siberian Division of the Academy of Sciences of the USSR, USSR

    S. Ya. Agakishieva

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  1. S. Ya. Agakishieva
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Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 211–216, February, 1968.

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Agakishieva, S.Y. Graphs with given neighborhoods of vertices. Mathematical Notes of the Academy of Sciences of the USSR 3, 135–138 (1968). https://doi.org/10.1007/BF01094335

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  • DOI: https://doi.org/10.1007/BF01094335

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