Proof of a conjecture on the determinant of the walk matrix of rooted product with a path

DOI10.1080/03081087.2023.2165612arXiv2208.07229OpenAlexW4316116195WikidataQ122948171 ScholiaQ122948171MaRDI QIDQ6153487

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Publication date: 19 March 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.07229

zbMATH Keywords

walk matrixrooted product graphgeneralized spectral characterization

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

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• On the walk matrix of the Dynkin graph \(D_n\)
• Resultants of Chebyshev Polynomials: A Short Proof
• The Resultant of Chebyshev Polynomials
• A new graph product and its spectrum
• Resultants and discriminants of Chebyshev and related polynomials
• Generalized spectral characterization of rooted product graphs

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