# 7-valent Klein graph

### Statistics

It has degree **7**, with **24** vertices and **84** edges.

It has girth **3**, diameter **3** and radius **3**.

Its symmetry group is **PGL(2,7)**, with **336** elements.

It is not bipartite.

It is **Hamiltonian**.

It is **symmetric**.

It is **1-arc-transitive**.

Its **distance-list** is 1,7,14,2.

### Link

https://en.wikipedia.org/wiki/Klein_graphs

### Regular maps

7-valent Klein graph is the skeleton of the dual Klein map

For copyright details of Wikipedia image see Klein-graph-7-valent_Hamiltonian.svg.

Lists of Graphs

Index to Regular Maps