Authors: Stevanović, Sanja 
Stevanović, Dragan 
Affiliations: Computer Science 
Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A walk-regular graph, cospectral to its complement, need not be strongly regular
Journal: Discrete Mathematics
Issue Date: 1-Oct-2023
Rank: ~M22
ISSN: 0012-365X
DOI: 10.1016/j.disc.2023.113566
Abstract: 
We briefly discuss counterexamples to the conjecture of Lepović (2010) [6]] that a walk-regular graph, which is cospectral to its complement, has to be strongly regular.
Keywords: Cospectral graphs | Graph complement | Walk-regular graph
Publisher: Elsevier

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