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A construction of an infinite family of 2-arc transitive polygonal graphs of arbitrary odd girth
Authors:Eric Swartz
Institution:Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
Abstract:A near-polygonal graph is a graph Γ which has a set C of m-cycles for some positive integer m such that each 2-path of Γ is contained in exactly one cycle in C. If m is the girth of Γ then the graph is called polygonal. We provide a construction of an infinite family of polygonal graphs of arbitrary odd girth with 2-arc transitive automorphism groups.
Keywords:Polygonal graphs  2-arc transitive graphs  Graph automorphisms
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