Construction of graphs with exactly \(k\) main eigenvalues

DOI10.1016/j.laa.2015.08.013zbMath1327.05208OpenAlexW1136012079MaRDI QIDQ498314

Xueyi Huang, Lu Lu, Qiong Xiang Huang

Publication date: 28 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.013

zbMATH Keywords

divisorequitable partitionmain eigenvaluedirected multigraph

Mathematics Subject Classification ID

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

Related Items (10)

A bound on the spectral radius of graphs in terms of their Zagreb indices ⋮ On the main spectrum of generalized Bethe trees ⋮ Construction of graphs with distinct eigenvalues ⋮ The controllability of graphs with diameter \(0-2\) ⋮ The second eigenvalue of some normal Cayley graphs of highly transitive groups ⋮ Graphs with \(n - 1\) main eigenvalues ⋮ A few examples and counterexamples in spectral graph theory ⋮ Some new aspects of main eigenvalues of graphs ⋮ On main eigenvalues of chain graphs ⋮ Some signed graphs whose eigenvalues are main

Cites Work

• Tricyclic graphs with exactly two main eigenvalues
• Some results on graphs with exactly two main eigenvalues
• Bicyclic graphs with exactly two main eigenvalues
• On graphs with given main eigenvalues
• The integral graphs with index 3 and exactly two main eigenvalues
• Unicyclic graphs with exactly two main eigenvalues
• Some results on graph spectra
• Expander graphs and their applications
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