K3

Other name:    3-cycle   


K<sub>3</sub> diagram, © Wikipedia

Statistics

It has degree 2, with 3 vertices and 3 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 6 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.

Regular maps

K3 is the skeleton of the hemi-di-hexagon
K3 is the skeleton of the di-triangle
K3 is the skeleton of the hemioctahedron with muliplicity 2
K3 is the skeleton of C5:{6,6} with muliplicity 3
K3 is the skeleton of {3,6}(0,2) with muliplicity 3


For copyright details of Wikipedia image see   Complete_graph_K3.svg.


Lists of Graphs
Index to Regular Maps