Geodesic
The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 303-308 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: tree, symmetrical extension by a finite graph. 
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V. I. Trofimov. The finiteness of the number of symmetrical extensions of a locally finite tree by a finite graph. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 303-308. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a29/

[1] Trofimov V.I., “Konechnost chisla simmetricheskikh 2-rasshirenii $d$-mernoi reshetki i skhodnykh s nei grafov”, Tr. In-ta matematiki i mekhaniki UrO RAN, 19:3 (2013), 290–303 | MR

[2] Trofimov V.I., “Symmetrical extensions of graphs and some other topics in graph theory related with group theory”, Tr. In-ta matematiki i mekhaniki UrO RAN, 17:4 (2011), 316–320 | MR

[3] Neganova E.A., Trofimov V.I., “Simmetricheskie rasshireniya grafov”, Izv. RAN. Ser. matematicheskaya, 78:4 (2014), 175–206 | DOI | MR | Zbl

[4] Trofimov V.I., “O simmetricheskikh rasshireniyakh derevev posredstvom konechnykh grafov”, Mezhdunar. konf. “Algebra i lineinaya optimizatsiya”, posvyaschennaya 100-letiyu S.N. Chernikova, tez. dokl., Ekaterinburg, 2012, 159

[5] Trofimov V.I., “Neskolko zamechanii o simmetricheskikh rasshireniyakh grafov”, Tr. In-ta matematiki i mekhaniki UrO RAN, 20:2 (2014), 284–292 | MR