On signed graphs whose spectral radius does not exceed \(\sqrt{2 + \sqrt{5}}\)

DOI10.1016/j.disc.2023.113358OpenAlexW4320890125MaRDI QIDQ2699926

Dijian Wang, Wenkuan Dong, De-Qiong Li, Yao-Ping Hou

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01530

zbMATH Keywords

spectral radiusmatrixsigned graphsHoffman program

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Signed and weighted graphs (05C22)

Related Items (1)

Limit points for the spectral radii of signed graphs

Cites Work

• Edge-signed graphs with smallest eigenvalue greater than \(-2\)
• The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\)
• Signed graphs
• Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines
• Integer symmetric matrices having all their eigenvalues in the interval \([ - 2,2\)]
• Equiangular lines
• Open problems in the spectral theory of signed graphs
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