[1] It has chromatic number 3, chromatic index 3, radius 7, diameter 7 and girth 9.

All the cubic distance-regular graphs are known.

The automorphism group of the Biggs–Smith graph is a group of order 2448[3] isomorphic to the projective special linear group PSL(2,17).

It acts transitively on the vertices, on the edges and on the arcs of the graph.

According to the Foster census, the Biggs–Smith graph, referenced as F102A, is the only cubic symmetric graph on 102 vertices.

[5] The characteristic polynomial of the Biggs–Smith graph is :