The spectral radius of bicyclic graphs with prescribed degree sequences

DOI10.1016/j.laa.2010.04.036zbMath1215.05106OpenAlexW2045047932MaRDI QIDQ984868

Yingluan Liu, Bo Lian Liu

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.036

zbMATH Keywords

spectral radiusdegree sequencebicyclic graph

Mathematics Subject Classification ID

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

Related Items (4)

The general spectral radii of (multicone-)graphs with prescribed degree sequence ⋮ A new bound of radius with irregularity index ⋮ On the largest eigenvalue of some bidegreed graphs ⋮ New method and new results on the order of spectral radius

Cites Work

• Spektren endlicher Grafen
• On the spectral radius of unicyclic graphs with prescribed degree sequence
• Graphs with given degree sequence and maximal spectral radius
• On the spectral radius of weighted trees with fixed diameter and weight set
• The majorization theorem of connected graphs
• On the spectral radius of (0,1)-matrices
• A Faber-Krahn-type inequality for regular trees
• On the spectral radius of graphs with cut edges
• On the index of caterpillars
• Some results on the index of unicyclic graphs
• The spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices
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