Cubic vertex-transitive graphs on up to 1280 vertices

نویسندگان

  • Primoz Potocnik
  • Pablo Spiga
  • Gabriel Verret
چکیده

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 arcset, 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.

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عنوان ژورنال:
  • J. Symb. Comput.

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2013