A spectral excess theorem for nonregular graphs

DOI10.1016/j.jcta.2012.04.002zbMath1245.05087OpenAlexW2127171818MaRDI QIDQ439054

Chih-Wen Weng, Guang-Siang Lee

Publication date: 1 August 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2012.04.002

zbMATH Keywords

distance-regular graphseigenvaluesspectral excess theorem

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (11)

Edge-distance-regular graphs are distance-regular ⋮ On some approaches to the spectral excess theorem for nonregular graphs ⋮ A characterization and an application of weight-regular partitions of graphs ⋮ A generalization of the odd-girth theorem ⋮ A characterization of bipartite distance-regular graphs ⋮ A spectral excess theorem for normal digraphs ⋮ The Laplacian spectral excess theorem for distance-regular graphs ⋮ Some spectral and quasi-spectral characterizations of distance-regular graphs ⋮ A spectral excess theorem for digraphs with normal Laplacian matrices ⋮ Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity ⋮ Spectrally extremal vertices, strong cospectrality, and state transfer

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• On the algebraic theory of pseudo-distance-regularity around a set

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