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11.
Two-arc-transitive two-valent digraphs of certain orders
Katja Berčič, Primož Potočnik, 2016, original scientific article

Abstract: The topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive group of automorphisms. We classify such digraphs that satisfy certain additional conditions on their order. In particular, a classification of those with order ▫$kp$▫ or ▫$kp^{2}$▫ where ▫$k \leq 14$▫ and ▫$p$▫ is a prime can be deduced from the results of this paper.
Keywords: graph, digraph, arc-transitive, order
Published in RUP: 08.08.2016; Views: 2337; Downloads: 119
.pdf Full text (401,75 KB)

12.
Automorphism groups of Cayley digraphs of Zp3
Edward Dobson, István Kovács, 2009, original scientific article

Keywords: Cayley digraph, automorphism group
Published in RUP: 15.10.2013; Views: 4652; Downloads: 27
URL Link to full text

13.
On Hamiltonicity of circulant digraphs of outdegree three
Štefko Miklavič, Primož Šparl, 2009, original scientific article

Abstract: This paper deals with Hamiltonicity of connected loopless circulant digraphs of outdegree three with connection set of the form ▫$\{a,ka,c\}$▫, where ▫$k$▫ is an integer. In particular, we prove that if ▫$k=-1$▫ or ▫$k=2$▫ such a circulant digraph is Hamiltonian if and only if it is not isomorphic to the circulant digraph on 12 vertices with connection set ▫$\{3,6,4\}$▫.
Keywords: graph theory, circulant digraph, Hamilton cycle
Published in RUP: 15.10.2013; Views: 2897; Downloads: 100
URL Link to full text

14.
15.
Automorphism groups of wreath product digraphs
Edward Dobson, Joy Morris, 2009, original scientific article

Keywords: wreath product digraph, automorphism group
Published in RUP: 15.10.2013; Views: 4355; Downloads: 112
URL Link to full text

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