On tricyclic graphs whose second largest eigenvalue does not exceed 1

DOI10.1016/j.laa.2010.12.023zbMath1216.05076OpenAlexW1997992024MaRDI QIDQ632473

Shuchao Li, Huangxu Yang

Publication date: 25 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.12.023

zbMATH Keywords

eigenvaluetricyclic graphinduced graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph ⋮ Graphs with second largest eigenvalue less than 1/2 ⋮ Unnamed Item ⋮ Graphs with three eigenvalues and second largest eigenvalue at most 1 ⋮ Spectral characterization of unicyclic graphs whose second largest eigenvalue does not exceed 1

Cites Work

• On graphs whose second largest eigenvalue equals 1 -- the star complement technique
• The spectral radius of tricyclic graphs with \(n\) vertices and \(k\) pendent vertices
• On tricyclic graphs of a given diameter with minimal energy
• On generalized \(\theta \)-graphs whose second largest eigenvalue does not exceed 1
• On nested split graphs whose second largest eigenvalue is less than 1
• The Laplacian spectral radius of tricyclic graphs with \(n\) vertices and \(k\) pendant vertices
• On the index of tricyclic graphs with perfect matchings
• Sharp lower bounds on the eigenvalues of trees
• On unicyclic graphs whose second largest eigenvalue does not exceed 1
• The Laplacian spread of tricyclic graphs
• On bicyclic graphs whose second largest eigenvalue does not exceed 1
• On regular graphs and coronas whose second largest eigenvalue does not exceed 1
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