# Petersen graph

Other name: ** F010A **

### Statistics

It has degree **3**, with **10** vertices and **15** edges.

It has girth **5**, diameter **2** and radius **2**.

Its symmetry group has **120** elements.

It is not bipartite.

It is not Hamiltonian.

It is **symmetric**.

It is **3-arc-transitive**.

Its **distance-list** is 1,3,6.

### Link

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

### Regular maps

Petersen graph is the skeleton of the hemidodecahedron

Petersen graph is the skeleton of N10.5 with muliplicity 2

Petersen graph is the skeleton of N12.3 with muliplicity 2

Petersen graph is the skeleton of N16.5′ with muliplicity 2

Petersen graph is the skeleton of N10.4 with muliplicity 2

Petersen graph is the skeleton of N16.6′ with muliplicity 2

### Dual graphs

Petersen graph is the dual of K_{6} in the projective plane

For copyright details of Wikipedia image see Petersen_graph_blue.svg.

Lists of Graphs

Index to Regular Maps