A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer

  • Authors:

  • Marston D. E. Conder;Dragan Marušic

  • Affiliations:

  • Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand;IMFM, Oddelek za Matematiko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia

  • Venue:
  • Journal of Combinatorial Theory Series B
  • Year:
  • 2003

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Abstract

A construction is given of a 4-valent ½-arc-transitive graph with vertex stabilizer isomorphic to the dihedral group D8. The graph has 10 752 vertices and is the first known example of a 4-valent ½-arc-transitive graph with non-abelian vertex stabilizer.