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The automorphism groups of non-edge transitive rose window graphs
Edward Dobson, István Kovács, Štefko Miklavič, 2015, original scientific article

Abstract: In this paper, we determine the full automorphism groups of rose window graphs that are not edge-transitive. As the full automorphism groups of edge-transitive rose window graphs have been determined, this complete the problem of calculating the full automorphism group of rose window graphs. As a corollary, we determine which rose window graphs are vertex-transitive. Finally, we determine the isomorphism classes of non-edge-transitive rose window graphs.
Keywords: rose window graphs, automorphism group, isomorphism problem, vertex-transitive graph
Published in RUP: 31.12.2021; Views: 961; Downloads: 19
Full text (275,74 KB)

The simultaneous conjugacy problem in the symmetric group
Andrej Brodnik, Aleksander Malnič, Rok Požar, 2021, original scientific article

Keywords: divide-and-conquer, fast multiplication algorithm, graph isomorphism, permutation multiplication, simultaneous conjugacy problem
Published in RUP: 06.05.2021; Views: 880; Downloads: 8
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On the isomorphism problem for Cayley graphs of abelian groups whose Sylow subgroups are elementary abelian or cyclic
Edward Dobson, 2018, original scientific article

Keywords: Cayley isomorphism problem, Cayley graph, CI-group
Published in RUP: 18.07.2018; Views: 1538; Downloads: 89
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Further restrictions on the structure of finite DCI-groups : an addendum
Edward Dobson, Joy Morris, Pablo Spiga, 2015, original scientific article

Keywords: isomorphism problem, CI-group, dihedral group, Cayley graph
Published in RUP: 08.08.2016; Views: 2623; Downloads: 65
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