Email this article The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph
- Authors: Trofimov V.I.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 295, No Suppl 1 (2016)
- Pages: 168-173
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174095
- DOI: https://doi.org/10.1134/S0081543816090170
- ID: 174095
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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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About the authors
V. I. Trofimov
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: trofimov@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620000
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