Some graphs whose second largest eigenvalue does not exceed \(\sqrt 2\)

DOI10.1016/j.laa.2012.04.044zbMath1247.05144OpenAlexW2069444438MaRDI QIDQ445843

Zoran Stanić

Publication date: 27 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.044

zbMATH Keywords

adjacency matrixtreessecond largest eigenvalue(semi)regular bipartite graphs

Mathematics Subject Classification ID

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

Related Items (3)

Some graph mappings that preserve the sign of λ2 - r ⋮ On the second largest distance eigenvalue ⋮ Graphs with all but two eigenvalues in \([-2, 0\)]

Uses Software

• GENREG

Cites Work

• On graphs with exactly one eigenvalue less than -1
• Small regular graphs with four eigenvalues
• On regular graphs and coronas whose second largest eigenvalue does not exceed 1
• Fast generation of regular graphs and construction of cages
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