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


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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.

作者简介

V. Trofimov

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

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Email: trofimov@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620000

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