Wells graph

The Wells graph is the unique distance-regular graph with intersection array $(5,4,1,1;1,1,4,5).$

Its spectrum is $5^1{\sqrt{5}}^8{1}^{10}(-\sqrt{5}{)}^8(-3{)}^5$. Its queue number is 3 and an upper bound on its book thickness is 5.

External links

• A.E. Brouwer's website: The Armanios-Wells graph