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21.
On certain edge-transitive bicirculants
Robert Jajcay, Štefko Miklavič, Primož Šparl, Gorazd Vasiljević, 2019, original scientific article

Keywords: bicirculant, edge-transitive, half-arc transitive
Published in RUP: 18.07.2019; Views: 1347; Downloads: 117
URL Link to full text

22.
Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primož Potočnik, Gabriel Verret, 2019, original scientific article

Abstract: Given integers ▫$k$▫ and ▫$m$▫, we construct a ▫$G$▫-arc-transitive graph of valency ▫$k$▫ and an ▫$L$▫-arc-transitive oriented digraph of out-valency ▫$k$▫ such that ▫$G$▫ and ▫$L$▫ both admit blocks of imprimitivity of size ▫$m$▫.
Keywords: arc-transitive digraphs, Cayley digraphs, imprimitive digraphs
Published in RUP: 28.06.2019; Views: 1645; Downloads: 126
URL Link to full text

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On the defect of vertex-transitive graphs of given degree and diameter
Geoffrey Exoo, Robert Jajcay, Martin Mačaj, Jozef Širan, 2019, original scientific article

Keywords: degree, diameter, vertex-transitive
Published in RUP: 21.01.2019; Views: 1902; Downloads: 161
URL Link to full text

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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: 2087; Downloads: 198
URL Link to full text

28.
Hamiltonicity of vertex-transitive graphs : the pq case I
Dragan Marušič, 2018, published scientific conference contribution abstract (invited lecture)

Keywords: vertex-transitive, graph, Hamilton cycle
Published in RUP: 23.10.2018; Views: 1370; Downloads: 24
URL Link to full text

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Hamiltonicity of vertex-transitive graphs : the pq case III
Klavdija Kutnar, 2018, published scientific conference contribution abstract (invited lecture)

Keywords: vertex-transitive, graph, Hamilton cycle
Published in RUP: 23.10.2018; Views: 1533; Downloads: 22
URL Link to full text

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