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Odd extensions of transitive groups via symmetric graphs - The cubic case
Klavdija Kutnar, Dragan Marušič, 2018, original scientific article

Abstract: When dealing with symmetry properties of mathematical objects, one of the fundamental questions is to determine their full automorphism group. In this paper this question is considered in the context of even/odd permutations dichotomy. More precisely: when is it that the existence of automorphisms acting as even permutations on the vertex set of a graph, called even automorphisms, forces the existence of automorphisms that act as odd permutations, called odd automorphisms. As a first step towards resolving the above question, complete information on the existence of odd automorphisms in cubic symmetric graphs is given.
Keywords: automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
Published in RUP: 19.11.2018; Views: 1976; Downloads: 198
URL Link to full text

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Graphs with large minimal vertex-transitive automorphism groups
Robert Jajcay, 2018, published scientific conference contribution abstract (invited lecture)

Keywords: vertex-transitive graph, automorphism group, symmetric graph
Published in RUP: 07.02.2018; Views: 1775; Downloads: 30
URL Link to full text

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