Author:
GARDINER A.,PRAEGER CHERYL E.,ZHOU SANMING
Abstract
A family of arc-transitive graphs is studied. The vertices of these graphs are ordered pairs of distinct
points from a finite projective line, and adjacency is defined in terms of the cross ratio. A uniform
description of the graphs is given, their automorphism groups are determined, the problem of isomorphism
between graphs in the family is solved, some combinatorial properties are explored, and the graphs are
characterised as a certain class of arc-transitive graphs. Some of these graphs have arisen as examples in
studies of arc-transitive graphs with complete quotients and arc-transitive graphs which ‘almost cover’ a
2-arc transitive graph.
Cited by
15 articles.
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