Some signed graphs whose eigenvalues are main

DOI10.1016/j.amc.2022.127014OpenAlexW4213048690MaRDI QIDQ2113733

Zhenan Shao, Xi-Ying Yuan

Publication date: 14 March 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07878

zbMATH Keywords

adjacency matrixsigned graphswitchingmain eigenvalue

Mathematics Subject Classification ID

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

Cites Work

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• Some results on graphs with exactly two main eigenvalues
• Construction of graphs with exactly \(k\) main eigenvalues
• Unicyclic graphs with exactly two main eigenvalues
• On the spectrum of a complete multipartite graph
• Signed graphs
• Harmonic trees
• On signed graphs with just two distinct Laplacian eigenvalues
• Graphs with \(n - 1\) main eigenvalues
• The main eigenvalues of signed graphs
• Locating eigenvalues of unbalanced unicyclic signed graphs
• Connected signed graphs of fixed order, size, and number of negative edges with maximal index
• Main eigenvalues of real symmetric matrices with application to signed graphs
• Open problems in the spectral theory of signed graphs

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