Main eigenvalues of real symmetric matrices with application to signed graphs

DOI10.21136/CMJ.2020.0147-19OpenAlexW3016665647MaRDI QIDQ5140401

Zoran Stanić

Publication date: 15 December 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0147-19

zbMATH Keywords

adjacency matrixLaplacian matrixsigned graphGram matrixmain eigenvaluemain angle

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items (7)

Total graph of a signed graph ⋮ The \(H\)-join of arbitrary families of graphs -- the universal adjacency spectrum ⋮ More on signed graphs with at most three eigenvalues ⋮ Signed graphs whose all Laplacian eigenvalues are main ⋮ Signed graphs with three eigenvalues: biregularity and beyond ⋮ A theorem on the number of distinct eigenvalues ⋮ Some signed graphs whose eigenvalues are main

Cites Work

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• Some results on graphs with exactly two main eigenvalues
• Main eigenvalues and \((\kappa ,\tau )\)-regular sets
• Bounding the largest eigenvalue of signed graphs
• Matrices in the Theory of Signed Simple Graphs
• Applications of a theorem on partitioned matrices
• Inequalities for Graph Eigenvalues
• On the main signless Laplacian eigenvalues of a graph

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