K7


K<sub>7</sub> diagram, © Wikipedia
K<sub>7</sub> diagram, © N.S.Wedd
K<sub>7</sub> diagram, © N.S.Wedd

Statistics

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.

Regular maps

K7 is the skeleton of the dual Heawood map

Dual graphs

K7 is the dual of Heawood graph in the torus


For copyright details of Wikipedia image see   Complete_graph_K7.svg.


Lists of Graphs
Index to Regular Maps