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

Authors

  • Primož Potočnik University of Ljubljana, Slovenia
  • Pablo Spiga University of Milano-Biccocca
  • Gabriel Verret University of Western Australia

DOI:

https://doi.org/10.26493/1855-3974.559.c6c

Keywords:

Graph, digraph, edge-transitive, vertex-transitive, arc-transitive, half-arc-transitive

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.

Published

2014-09-16

Issue

Section

Special Issue in Honor of the 60th Birthday of Professor Dragan Marušič