# K2

### Statistics

It has degree 1, with 2 vertices and 1 edges.
It has girth 0, diameter 1 and radius 1.
Its symmetry group has 2 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.

### Regular maps

K2 is the skeleton of the monodigon
K2 is the skeleton of the hemi-di-square with muliplicity 2
K2 is the skeleton of the 2-hosohedron with muliplicity 2
K2 is the skeleton of the 3-hosohedron with muliplicity 3
K2 is the skeleton of {6,3}(1,1) with muliplicity 3
K2 is the skeleton of {4,4}(1,1) with muliplicity 4
K2 is the skeleton of the 4-hosohedron with muliplicity 4
K2 is the skeleton of S2:{10,5} with muliplicity 5
K2 is the skeleton of the 5-hosohedron with muliplicity 5
K2 is the skeleton of the 6-hosohedron with muliplicity 6
K2 is the skeleton of S2:{6,6} with muliplicity 6
K2 is the skeleton of S3:{14,7} with muliplicity 7
K2 is the skeleton of the 7-hosohedron with muliplicity 7
K2 is the skeleton of S3:{8,8}4 with muliplicity 8
K2 is the skeleton of S2:{4,8} with muliplicity 8
K2 is the skeleton of the 8-hosohedron with muliplicity 8
K2 is the skeleton of S3:{8,8}2 with muliplicity 8
K2 is the skeleton of S4:{18,9} with muliplicity 9
K2 is the skeleton of the 9-hosohedron with muliplicity 9
K2 is the skeleton of S4:{10,10} with muliplicity 10
K2 is the skeleton of the 10-hosohedron with muliplicity 10
K2 is the skeleton of S5:{22,11} with muliplicity 11
K2 is the skeleton of the 11-hosohedron with muliplicity 11
K2 is the skeleton of S3:{4,12} with muliplicity 12
K2 is the skeleton of S5:{12,12} with muliplicity 12
K2 is the skeleton of the 12-hosohedron with muliplicity 12
K2 is the skeleton of S4:{6,12} with muliplicity 12
K2 is the skeleton of the 13-hosohedron with muliplicity 13
K2 is the skeleton of S6:{26,13} with muliplicity 13
K2 is the skeleton of S6:{14,14} with muliplicity 14
K2 is the skeleton of the 14-hosohedron with muliplicity 14
K2 is the skeleton of S4:{4,16} with muliplicity 16
K2 is the skeleton of S5:{4,20} with muliplicity 20
K2 is the skeleton of S6:{4,24} with muliplicity 24

### Dual graphs

K2 is the dual of 1-cycle in the plane

For copyright details of Wikipedia image see   Complete_graph_K2.svg.