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.
K6 is the skeleton of the hemi-icosahedron
K6 is the skeleton of N5:{5,5}
K6 is the skeleton of N6:{3,10}10 with muliplicity 2
K6 is the skeleton of N6:{3,10}5 with muliplicity 2
K6 is the skeleton of N14.3 with muliplicity 2
K6 is the dual of Petersen graph in the projective plane
For copyright details of Wikipedia image see Complete_graph_K6.svg.
