The \(k\)-adjacency operators and adjacency Jacobi matrix on distance-regular graphs

DOI10.1007/s40590-023-00582-4zbMath1530.05116OpenAlexW4390052375MaRDI QIDQ6189066

Josué I. Rios-Cangas

Publication date: 12 January 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00582-4

zbMATH Keywords

distance-regular graphsJacobi operatorsspectral graph theory

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Distance in graphs (05C12) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Infinite graphs (05C63)

Cites Work

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• Spectral Analysis of Growing Graphs
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• Complex Network Theory and Its Application Research on P2P Networks

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