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Spectral diameter estimates for \(k\)-regular graphs

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Publication:1333236
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DOI10.1006/aima.1994.1052zbMath0808.05071OpenAlexW2049518778MaRDI QIDQ1333236

Gregory T. Quenell

Publication date: 1994

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

Full work available at URL: https://doi.org/10.1006/aima.1994.1052


zbMATH Keywords

eigenvalueupper bounddiameteradjacency matrixgirthregular graph


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)


Related Items

On the Laplacian Eigenvalues and Metric Parameters of Hypergraphs ⋮ The alternating polynomials and their relation with the spectra and conditional diameters of graphs ⋮ From local adjacency polynomials to locally pseudo-distance-regular graphs ⋮ Some properties of graphs determined by edge zeta functions ⋮ Asymptotic Absence of Poles of Ihara Zeta Function of Large Erdős–Rényi Random Graphs ⋮ The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs ⋮ Bounding the diameter and the mean distance of a graph from its eigenvalues: Laplacian versus adjacency matrix methods




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