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28. Odd automorphisms in vertex-transitive graphsAdemir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2016, izvirni znanstveni članek Opis: An automorphism of a graph is said to be even/odd if it acts on the set of vertices as an even/odd permutation. In this article we pose the problem of determining which vertex-transitive graphs admit odd automorphisms. Partial results for certain classes of vertex-transitive graphs, in particular for Cayley graphs, are given. As a consequence, a characterization of arc-transitive circulants without odd automorphisms is obtained. Ključne besede: graph, vertex-transitive, automorphism group, even permutation, odd permutation Objavljeno v RUP: 15.11.2017; Ogledov: 2295; Prenosov: 100 Celotno besedilo (281,25 KB) |
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