On WL-rank of Deza Cayley graphs

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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.

Original languageEnglish
Article number112692
JournalDiscrete Mathematics
Volume345
Issue number2
DOIs
Publication statusPublished - Feb 2022

Keywords

  • Cayley graphs
  • Deza graphs
  • WL-rank

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 1.02 COMPUTER AND INFORMATION SCIENCES

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