# 4-cycle

### Statistics

It has degree **2**, with **4** vertices and **4** edges.

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

Its symmetry group has **8** elements.

It is **bipartite**.

It is **Hamiltonian**.

It is **symmetric**.

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

### Regular maps

4-cycle is the skeleton of the hemi-di-octagon

4-cycle is the skeleton of the di-square

4-cycle is the skeleton of {4,4}_{(2,0)} with muliplicity 2

4-cycle is the skeleton of S2:{8,4} with muliplicity 2

4-cycle is the skeleton of S2:{4,6} with muliplicity 3

4-cycle is the skeleton of S4:{12,6} with muliplicity 3

4-cycle is the skeleton of S3:{4,8|4} with muliplicity 4

4-cycle is the skeleton of R5.12 with muliplicity 4

4-cycle is the skeleton of S3:{4,8|2} with muliplicity 4

4-cycle is the skeleton of S4:{4,10} with muliplicity 5

4-cycle is the skeleton of S5:{4,12} with muliplicity 6

4-cycle is the skeleton of S6:{4,14} with muliplicity 7

Lists of Graphs

Index to Regular Maps