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FINITE 3-GEODESIC TRANSITIVE BUT NOT 3-ARC TRANSITIVE GRAPHS
Published online by Cambridge University Press: 23 September 2014
Abstract
In this paper, we first prove that for $g\in \{3,4\}$, there are infinitely many 3-geodesic transitive but not 3-arc transitive graphs of girth $g$ with arbitrarily large diameter and valency. Then we classify the family of 3-geodesic transitive but not 3-arc transitive graphs of valency 3 and those of valency 4 and girth 4.
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- Research Article
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- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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