K3 × K3

Other names:    C3 × C3       C3 □ C3       K3 □ K3       generalised quadrilateral (2,1)   

Statistics

It has degree 4, with 9 vertices and 18 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 72 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.
Its distance-list is 1,4,4.

As a graph product

K3 × K3 can be regarded as K3 × K3
K3 × K3 can be regarded as K3 K3

Regular maps

K3 × K3 is the skeleton of C5:{6,4}
K3 × K3 is the skeleton of {4,4}(3,0)


Lists of Graphs
Index to Regular Maps