The Classification of Minimal Graphs with Given Abelian Automorphism Group
William C. Arlinghaus
Jan 1985 · American Mathematical Society: Memoirs of the American Mathematical Society Book 330 · American Mathematical Soc.
Ebook
86
Pages
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About this ebook
Any finite abstract group can be realized as the automorphism group of a graph. The purpose of this memoir is to find the realization, for each finite abelian group, with the least number of vertices possible. The results are extended to all finite abelian groups. Thus a complete classification is provided for minimal graphs with given finite abelian automorphism group.
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