On 2-arc-transitive Cayley graphs of Abelian groups

Authors:
Primoz Potocnik
Affiliations:
IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, SI 1000 Ljubljana, Slovenia
Venue:
Discrete Mathematics - Algebraic and topological methods in graph theory
Year:
2002

Citing 2
Cited 3

On finite affine 2-arc transitive graphs

European Journal of Combinatorics - Special issue: association schemes
A Classification of 2-Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal

On 2-arc-transitivity of Cayley graphs

Journal of Combinatorial Theory Series B
Finite symmetric graphs with two-arc transitive quotients

Journal of Combinatorial Theory Series B
Finite 2-arc-transitive abelian Cayley graphs

European Journal of Combinatorics

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Abstract

A 2-arc in a graph X is a sequence of three distinct vertices of graph X where the first two and the last two are adjacent. A graph X is 2-arc-transitive if its automorphism group acts transitively on the set of 2-arcs of X. Some properties of 2-arc-transitive Cayley graphs of Abelian groups are considered. It is also proved that the set of generators of a 2-arc-transitive Cayley graph of an Abelian group which is not a circulant contains no elements of odd order.