Cubic vertex-transitive graphs on up to 1280 vertices
Copyright policy )Cubic vertex-transitive graphs on up to 1280 vertices
A graph is called cubic and tetravalent if all of its vertices have valency 3 and 4, respectively. It is called vertex-transitive and arc-transitive if its automorphism group acts transitively on its vertex-set and on its arc- set, respectively. In this paper, we combine some new theoretical results with computer calculations to construct all cubic vertex-transitive graphs of order at most 1280. In the process, we also construct all tetravalent arc-transitive graphs of order at most 640.
- University of Milano-Bicocca Italy
- University of Ljubljana Slovenia
- University of Primorska Slovenia
Computational Mathematics, Algebra and Number Theory, Arc-transitive; Cubic; Tetravalent; Valency 3; Valency 4; Vertex-transitive; Algebra and Number Theory; Computational Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory, Arc-transitive; Cubic; Tetravalent; Valency 3; Valency 4; Vertex-transitive;
Computational Mathematics, Algebra and Number Theory, Arc-transitive; Cubic; Tetravalent; Valency 3; Valency 4; Vertex-transitive; Algebra and Number Theory; Computational Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory, Arc-transitive; Cubic; Tetravalent; Valency 3; Valency 4; Vertex-transitive;
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