Signed graphs whose spectrum is bounded by \(- 2\)

DOI10.1016/j.amc.2022.126991OpenAlexW4213078088MaRDI QIDQ2113716

Zoran Stanić, Peter Rowlinson

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.amc.2022.126991

zbMATH Keywords

adjacency matrixstar complementsigned line graphstar partitionfoundation of signed graph

Mathematics Subject Classification ID

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

Cites Work

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• Signed line graphs with least eigenvalue -2: the star complement technique
• Edge-signed graphs with smallest eigenvalue greater than \(-2\)
• On eigenvalue multiplicity in signed graphs
• On strongly regular signed graphs
• Maximal signed graphs with odd signed cycles as star complements
• Spectra of signed graphs with two eigenvalues
• On signed graphs with just two distinct adjacency eigenvalues
• Integer symmetric matrices having all their eigenvalues in the interval \([ - 2,2\)]
• Matrices in the Theory of Signed Simple Graphs
• Notes on exceptional signed graphs
• A decomposition of signed graphs with two eigenvalues