$14$-vertex graphs with cyclic automorphism group of order $8$

Abstract

We describe computational results about undirected graphs having $14$ vertices and automorphism group isomorphic to $\mathbb{Z}/8\mathbb{Z}$, graphs $\Gamma$ which have less than $2|Aut(\Gamma )|$ vertices. We give one example of such graphs.

This paper has been withdrawn by the author due to the fact that 1) its content is a special case of another preprint by the same author and 2) the author has discovered that similar results may have been obtained earlier

Cited by in corpus (2)

• $10$-vertex graphs with cyclic automorphism group of order $4$
• Graphs with $2^n+6$ vertices and cyclic automorphism group of order $2^n$