# Clebsch graph

Other names: ** Greenwood-Gleason graph ** ** Keller (2) ** ** 5-regular Clebsch graph **

### Statistics

It has degree **5**, with **16** vertices and **40** edges.

It has girth **4**, diameter **2** and radius **2**.

Its symmetry group has **1920** elements.

It is not bipartite.

It is **Hamiltonian**.

It is **symmetric**.

### Link

http://en.wikipedia.org/wiki/Clebsch_graph

### Regular maps

Clebsch graph is the skeleton of S5:{5,5}

Clebsch graph is the skeleton of C6:{4,5}

For copyright details of Wikipedia image see Clebsch_graph.svg.

Lists of Graphs

Index to Regular Maps