A Classification of 2-Arc-Transitive Circulants

Authors:
Brian Alspach;Marston D. E. Conder;Dragan Marušič;Ming-Yao Xu
Affiliations:
Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6;Department of Mathematics and Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand;IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, 61111 Ljubljana, Slovenija;Department of Mathematics, Peking University, Beijing 100871, People's Republic of China
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
1996

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Abstract

A graph X is k-arc-transitive if its automorphism group acts transitively on the set of k-arcs of X. A circulant is a Cayley graph of a cyclic group. A classification of 2-arc-transitive circulants is given.