Published in
Elsevier, Discrete Mathematics, 1-3(299), p. 180-193, 2005
DOI: 10.1016/j.disc.2004.02.025
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Quartic half-arc-transitive graphs with large vertex stabilizers
Journal article published in 2005 by
Dragan Marušič
This paper is made freely available by the publisher.
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Abstract
A -arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In all previously known constructions of quartic -arc-transitive graphs, vertex stabilizers are isomorphic to or to D8. In this article, for each positive integer m⩾1, an infinite family of quartic -arc-transitive graphs having vertex stabilizers isomorphic to is constructed.