A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two

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A census of 4-valent half-arc-transitive graphs and arc- transitive digraphs of valence two

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 12 -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.

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Weakly Flag-transitive Configurations and Half-arc-transitive Graphs

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Half-arc-transitive graphs and chiral hypermaps

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ژورنال

عنوان ژورنال: Ars Mathematica Contemporanea

سال: 2014

ISSN: 1855-3974,1855-3966

DOI: 10.26493/1855-3974.559.c6c