Clebsch graph

Other names:    Greenwood-Gleason graph       Keller (2)       5-regular Clebsch graph   

Clebsch graph diagram, © Wikipedia


It has degree 5, with 16 vertices and 40 edges.
It has girth 4, diameter 2 and radius 2.
Its symmetry group has 1920 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.


Regular maps

Clebsch graph is the skeleton of S5:{5,5}
Clebsch graph is the skeleton of C6:{4,5}

For copyright details of Wikipedia image see   Clebsch_graph.svg.

Lists of Graphs
Index to Regular Maps