New method and new results on the order of spectral radius

DOI10.1016/j.camwa.2011.11.027zbMath1238.05164OpenAlexW2074589000MaRDI QIDQ418383

Muhuo Liu, Bo Lian Liu

Publication date: 28 May 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.11.027

zbMATH Keywords

spectral radiusunicyclic graphmajorization theorembicyclic graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

Ordering graphs by their largest (least) A_α-eigenvalues ⋮ The majorization theorem of extremal pseudographs ⋮ The A_α-spectral radius of dense graphs

Cites Work

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• Some results on the majorization theorem of connected graphs
• The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences
• The Laplacian spectral radii of trees with degree sequences
• Some results on the ordering of the Laplacian spectral radii of unicyclic graphs
• On the spectral radius of unicyclic graphs with prescribed degree sequence
• The signless Laplacian spectral radius of graphs with given degree sequences
• The spectral radius of bicyclic graphs with prescribed degree sequences
• Graphs with given degree sequence and maximal spectral radius
• The majorization theorem of connected graphs
• A bound on the spectral radius of graphs
• The spectral radius of trees on \(k\) pendant vertices
• A further result on majorization theorem
• On the spectral radius of bicyclic graphs
• Inequalities: theory of majorization and its applications

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