Journal of the Australian Mathematical Society (Series A)

Research Article

Constructing graphs which are ½-transitive

Brian Alspacha1, Dragan Marušiča2 and Lewis Nowitza3

a1 Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B. C. V5A 1S6, Canada

a2 Insttitut za Mathematiko, Fiziko in Mehaniko, Jadranska 19, 61111 Ljublijana, Slovenija, Yugoslavia

a3 Apartment 9Q, 275 West 96th Street, New York 10025

Abstract

An infinite family of vertex-and edge-transitive, but not arc-transitive, graphs of degree 4 is constructed.

(Received July 26 1991)

(Revised February 05 1992)

1991 Mathematics subject classification (Amer. Math. Soc)

  • 05 C 25