It has degree 6, with 7 vertices and 21 edges.
It has girth 3, diameter 1 and radius 1.
Its symmetry group is S7, with 5040 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 6-arc-transitive.
K7 is the skeleton of the dual Heawood map
K7 is the dual of Heawood graph in the torus
For copyright details of Wikipedia image see Complete_graph_K7.svg.
