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The Wells graph is the unique distance-regular graph with intersection array $\{5,4,1,1;1,1,4,5\}.$ ^[1]

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.^[2]

References

^ Brouwer, A. E.; Cohen, A. M.; Neumaier, A. (1989), Distance-Regular Graphs, Springer-Verlag, Theorem 9.2.9
^ Jessica Wolz, Engineering Linear Layouts with SAT. Master Thesis, University of Tübingen, 2018

External links

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

Allikas: https://en.wikipedia.org/wiki/Wells_graph

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Tallinn

Tallinn, EE

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