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The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph

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Abstract

We prove that there are only finitely many symmetrical extensions of a locally finite tree by a finite graph. Moreover, we prove that there are only finitely many pairwise nonequivalent realizations of symmetrical extensions of a locally finite tree by a finite graph.

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References

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russia

    V. I. Trofimov

  2. Ural Federal University, Yekaterinburg, 620000, Russia

    V. I. Trofimov

Authors
  1. V. I. Trofimov
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Correspondence to V. I. Trofimov.

Additional information

Original Russian Text © V.I. Trofimov, 2015, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Vol. 21, No. 3.

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Trofimov, V.I. The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph. Proc. Steklov Inst. Math. 295 (Suppl 1), 168–173 (2016). https://doi.org/10.1134/S0081543816090170

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  • DOI: https://doi.org/10.1134/S0081543816090170

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