Other name: torus-t-4-4
It has degree 6, with 16 vertices and 48 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 192 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.
http://en.wikipedia.org/wiki/Shrikhande_graph
Shrikhande graph is the skeleton of {3,6}(4,4)
Shrikhande graph is the skeleton of N22.4′
Shrikhande graph is the dual of Dyck graph in the torus
Shrikhande graph is the dual of K4,4,4 in the non-orientable surface of order 22
For copyright details of Wikipedia image see Shrikhande_graph_symmetrical.svg.