Eigenvalue-free intervals of distance matrices of threshold and chain graphs

DOI10.1080/03081087.2019.1701624zbMath1479.05189OpenAlexW2996717897WikidataQ126576551 ScholiaQ126576551MaRDI QIDQ5012473

Milica Anđelić, Zoran Stanić, Tamara Koledin, Abdullah Al-Azemi

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1701624

zbMATH Keywords

chain graphdistance matrixtreshold grapheigenvalue-free interval

Mathematics Subject Classification ID

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

Related Items

Some Properties of Chain and Threshold Graphs, An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs, A note on the eigenvalue free intervals of some classes of signed threshold graphs, Gap sets for the spectra of regular graphs with minimum spectral gap

Cites Work

• Eigenvalue location for chain graphs
• The graphs with exactly two distance eigenvalues different from \(-1\) and \(-3\)
• Sufficient conditions for positive definiteness of tridiagonal matrices revisited
• No threshold graphs are cospectral
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• Spectral characterizations of anti-regular graphs
• Threshold graphs and related topics
• Eigenvalue-free interval for threshold graphs
• Eigenvalue location in threshold graphs
• Nested graphs with bounded second (signless Laplacian) eigenvalue
• Spectral properties of cographs andP₅-free graphs
• Inequalities for Graph Eigenvalues
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