K6


K<sub>6</sub> diagram, © Wikipedia

Statistics

It has degree 5, with 6 vertices and 15 edges.
It has girth 3, diameter 1 and radius 1.
Its symmetry group has 720 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 5-arc-transitive.

Regular maps

K6 is the skeleton of C5:{5,5}
K6 is the skeleton of the hemi-icosahedron
K6 is the skeleton of C6:{3,10}10 with muliplicity 2
K6 is the skeleton of C6:{3,10}5 with muliplicity 2
K6 is the skeleton of N14.3 with muliplicity 2

Dual graphs

K6 is the dual of Petersen graph in the projective plane


For copyright details of Wikipedia image see   Complete_graph_K6.svg.


Lists of Graphs
Index to Regular Maps