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Keywords: deleted wreath product of digraphs, automorphism group, half-arc-transitive
Published in RUP: 14.11.2019; Views: 1743; Downloads: 94
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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: 2087; Downloads: 198
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Keywords: odd action automorphism, even action automorphism, automorphism group, vertex-transitive graph, orientable-regular map
Published in RUP: 18.07.2018; Views: 2954; Downloads: 127
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Keywords: odd automorphism, even automorphism, automorphism group, vertex-transitive graph
Published in RUP: 17.04.2018; Views: 2451; Downloads: 164
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Keywords: vertex-transitive graph, semiregular automorphism, elusive group, solvable group
Published in RUP: 07.02.2018; Views: 2046; Downloads: 28
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