Symmetrical extensions of graphs and some other topics in graph theory related with group theory
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 316-320

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We discuss some concepts concerning graphs (mainly concepts of symmetrical extensions of graphs by graphs and of $k$-contractibility, $k$ a positive integer, for graphs), which are related with the group theory and seem to be of interest.
Keywords: vertex-symmetric graph, symmetrical extension, $k$-contractibility.
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     title = {Symmetrical extensions of graphs and some other topics in graph theory related with group theory},
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V. I. Trofimov. Symmetrical extensions of graphs and some other topics in graph theory related with group theory. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 316-320. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a28/