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**.

K_{2} is the skeleton of the monodigon

K_{2} is the skeleton of the hemi-di-square with muliplicity 2

K_{2} is the skeleton of the 2-hosohedron with muliplicity 2

K_{2} is the skeleton of the 3-hosohedron with muliplicity 3

K_{2} is the skeleton of {6,3}_{(1,1)} with muliplicity 3

K_{2} is the skeleton of {4,4}_{(1,1)} with muliplicity 4

K_{2} is the skeleton of the 4-hosohedron with muliplicity 4

K_{2} is the skeleton of S2:{10,5} with muliplicity 5

K_{2} is the skeleton of the 5-hosohedron with muliplicity 5

K_{2} is the skeleton of the 6-hosohedron with muliplicity 6

K_{2} is the skeleton of S2:{6,6} with muliplicity 6

K_{2} is the skeleton of S3:{14,7} with muliplicity 7

K_{2} is the skeleton of the 7-hosohedron with muliplicity 7

K_{2} is the skeleton of S3:{8,8}_{4} with muliplicity 8

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

K_{2} is the skeleton of the 8-hosohedron with muliplicity 8

K_{2} is the skeleton of S3:{8,8}_{2} with muliplicity 8

K_{2} is the skeleton of S4:{18,9} with muliplicity 9

K_{2} is the skeleton of the 9-hosohedron with muliplicity 9

K_{2} is the skeleton of S4:{10,10} with muliplicity 10

K_{2} is the skeleton of the 10-hosohedron with muliplicity 10

K_{2} is the skeleton of S5:{22,11} with muliplicity 11

K_{2} is the skeleton of the 11-hosohedron with muliplicity 11

K_{2} is the skeleton of S3:{4,12} with muliplicity 12

K_{2} is the skeleton of S5:{12,12} with muliplicity 12

K_{2} is the skeleton of the 12-hosohedron with muliplicity 12

K_{2} is the skeleton of S4:{6,12} with muliplicity 12

K_{2} is the skeleton of the 13-hosohedron with muliplicity 13

K_{2} is the skeleton of S6:{26,13} with muliplicity 13

K_{2} is the skeleton of S6:{14,14} with muliplicity 14

K_{2} is the skeleton of the 14-hosohedron with muliplicity 14

K_{2} is the skeleton of S4:{4,16} with muliplicity 16

K_{2} is the skeleton of S5:{4,20} with muliplicity 20

K_{2} is the skeleton of S6:{4,24} with muliplicity 24

K_{2} is the dual of 1-cycle in the plane

For copyright details of Wikipedia image see Complete_graph_K2.svg.