Distance-regular graphs with a few \(q\)-distance eigenvalues

DOI10.1016/j.disc.2024.113926arXiv2401.05640OpenAlexW4391741636MaRDI QIDQ6204343

Jack H. Koolen, Sakander Hayat, Mamoon Abdullah, Brhane Gebremichel

Publication date: 27 March 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2401.05640

zbMATH Keywords

distance-regular graphsdistance-matrix\(q\)-distance matrixfew \(q\)-distance eigenvalues

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

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• Distance-regular graphs with small number of distinct distance eigenvalues
• An inequality involving the second largest and smallest eigenvalue of a distance-regular graph
• On the distance spectrum of graphs
• Graphs with three distinct distance eigenvalues

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