# K_{7}

### Statistics

It has degree **6**, with **7** vertices and **21** edges.

It has girth **3**, diameter **1** and radius **1**.

Its symmetry group is **S7**, with **5040** elements.

It is not bipartite.

It is **Hamiltonian**.

It is **symmetric**.

It is **6-arc-transitive**.

### Regular maps

K_{7} is the skeleton of {3,6}_{(1,3)}

### Dual graphs

K_{7} is the dual of Heawood graph in the torus

For copyright details of Wikipedia image see Complete_graph_K7.svg.

Lists of Graphs

Index to Regular Maps