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On WL-rank of Deza Cayley graphs
Affiliation:1. Sobolev Institute of Mathematics, Novosibirsk, Russia;2. Novosibirsk State University, Novosibirsk, Russia
Abstract:The WL-rank of a graph Γ is defined to be the rank of the coherent configuration of Γ. We construct a new infinite family of strictly Deza Cayley graphs for which the WL-rank is equal to the number of vertices. The graphs from this family are divisible design and integral.
Keywords:WL-rank  Cayley graphs  Deza graphs
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