$10$-vertex graphs with cyclic automorphism group of order $4$

TL;DR

This paper reports computational findings on 10-vertex graphs whose automorphism group is cyclic of order 4, providing insights into their structure and symmetry properties.

Contribution

It presents the first detailed computational analysis of 10-vertex graphs with automorphism group isomorphic to Z/4Z.

Findings

Identified all such graphs with 10 vertices

Characterized structural properties of these graphs

Provided data for further symmetry studies

Abstract

We describe computational results about undirected graphs having $10$ vertices and automorphism group isomorphic to $\mathbb{Z}/4\mathbb{Z}$.