The integral graphs with index 3 and exactly two main eigenvalues

DOI10.1016/j.laa.2010.04.025zbMath1215.05033OpenAlexW2162840521MaRDI QIDQ984863

Zikai Tang, Yao-Ping Hou

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.025

zbMATH Keywords

integral graphsgraph spectrummain eigenvaluesindex 2-walk linear graphs

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (6)

A bound on the spectral radius of graphs in terms of their Zagreb indices ⋮ The adjacency spectrum of two new operations of graphs ⋮ Construction of graphs with exactly \(k\) main eigenvalues ⋮ Construction of graphs with distinct eigenvalues ⋮ Two spectral characterizations of regular, bipartite graphs with five eigenvalues ⋮ A few examples and counterexamples in spectral graph theory

Cites Work

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• The integral trees with spectral radius 3
• Unicyclic graphs with exactly two main eigenvalues
• Some results on graph spectra
• Harmonic graphs with small number of cycles
• The integral 3-harmonic graphs

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