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The Wells graph is the unique distance-regular graphwith intersection array { 5 , 4 , 1 , 1 ; 1 , 1 , 4 , 5 } {\displaystyle \{5,4,1,1;1,1,4,5\}}..
Its spectrum is 5 1 5 8 1 1 0 8 5 {\displaystyle 5^{1}{\sqrt {5}}^{8}1^{1}0^{8}^{5}}. Its queue number is 3 and its upper bound on the book thickness is 5.
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