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A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two : dedicated to Dragan Marušič on the occasion of his 60th birthday
Primož Potočnik, Pablo Spiga, Gabriel Verret, 2015, original scientific article

Abstract: A complete list of all connected arc-transitive asymmetric digraphs of in-valence and out-valence 2 on up to 1000 vertices is presented. As a byproduct, a complete list of all connected 4-valent graphs admitting a half-arc-transitive group of automorphisms on up to 1000 vertices is obtained. Several graph-theoretical properties of the elements of our census are calculated and discussed.
Keywords: graphs, digraphs, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive
Published in RUP: 31.12.2021; Views: 792; Downloads: 16
.pdf Full text (370,47 KB)

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Cayley graphs on abelian groups
Edward Dobson, Pablo Spiga, Gabriel Verret, 2015, original scientific article

Keywords: Cayley graph, abelian group, automorphism
Published in RUP: 03.04.2017; Views: 2250; Downloads: 136
URL Link to full text

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