Cyclic Automorphism Groups of Graphs and Edge-Colored Graphs

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Cyclic Automorphism Groups of Graphs and Edge-Colored Graphs

Grech, Mariusz; Kisielewicz, Andrzej

Electronic notes in discrete mathematics, July 2018, 2018-07-00, Volume: 68

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In this paper we describe the automorphism groups of graphs and edge-colored graphs that are cyclic as permutation groups. In addition, we show that every such group is the automorphism group of a complete graph whose edges are colored with 3 colors, and we characterize those groups that are automorphism groups of simple graphs.

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