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On graphs with regular groups
Authors:Wilfried Imrich
Affiliation:1. Département de Mathématiques Université de Montréal, Montréal, Quebec, Canada;2. Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada
Abstract:A new method for the construction of graphs with given regular group is developed and used to show that to every nonabelian group G of order 3k, k ≥ 4, there exists a graph X whose automorphism group is isomorphic to G and regular as a permutation group on the set of vertices of X.
Keywords:
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