20.500.12556/RUP-10001 Odd extensions of transitive groups via symmetric graphs - The cubic case 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. automorphism group arc-transitive even permutation odd permutation cubic symmetric graph grupa avtomorfizmov ločna tranzitivnost soda permutacija liha permutacija kubični simetrični graf true true false Angleški jezik Angleški jezik Neznano 2018-11-19 08:37:29 2018-11-19 08:37:30 2024-03-01 13:50:34 0000-00-00 00:00:00 2018 0 0 str. 1-23 2018 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 0095-8956 25721600 10.1016/j.jctb.2018.10.003 1540797380 https://doi.org/10.1016/j.jctb.2018.10.003 1 https://repozitorij.upr.si/Dokument.php?lang=slv&id=15757 Inštitut Andrej Marušič 0 0 0