Signed graphs with three eigenvalues: biregularity and beyond

DOI10.1016/j.laa.2021.03.018zbMath1462.05240OpenAlexW3136441768MaRDI QIDQ2020712

Zoran Stanić, Peter Rowlinson

Publication date: 24 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.03.018

zbMATH Keywords

adjacency matrixblock designstar complementgraph spectrumbiregular graphnet-biregular signed graph

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items (2)

Bipartite graphs with all but two eigenvalues equal to \(0\) and \(\pm 1\) ⋮ Signed graphs with all but two eigenvalues equal to \(\pm 1\)

Cites Work

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• Biregular graphs with three eigenvalues
• On graphs with just three distinct eigenvalues
• Regular graphs. A spectral approach
• Unitals and unitary polarities in symmetric designs
• Graphs with three eigenvalues and second largest eigenvalue at most 1
• On eigenvalue multiplicity in signed graphs
• Nonregular graphs with three eigenvalues
• On graphs with three eigenvalues
• On strongly regular signed graphs
• On regular signed graphs with three eigenvalues
• Reflexive bipartite regular graphs
• Matrices in the Theory of Signed Simple Graphs
• More on graphs with just three distinct eigenvalues
• Main eigenvalues of real symmetric matrices with application to signed graphs
• Star complementary strongly regular decompositions of strongly regular graphs
• On a class of strongly regular signed graphs

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