Gosset Graph
The Gosset graph is a 27-regular graph on 56 vertices which is the skeleton of the Gosset polytope
.
It is a distance-regular graph with intersection array
,
and therefore also a Taylor graph. It is also distance-transitive.
It is an integral graph with graph spectrum
.
The distance 2-graph of the Gosset graph is itself a distance-transitive and distance-regular
graph with intersection array
(and therefore another Taylor graph).
gosset graph