On graphs with regular groups |
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Authors: | Wilfried Imrich |
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Affiliation: | 1. Département de Mathématiques Université de Montréal, Montréal, Quebec, Canada;2. Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada |
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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. |
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