The majorization theorem of connected graphs

DOI10.1016/J.LAA.2009.03.004zbMath1183.05040OpenAlexW2070601022MaRDI QIDQ1030719

Muhuo Liu, Zhifu You, Bo Lian Liu

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.004

zbMATH Keywords

spectral radiusmajorizationPerron vector

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (8)

Some results on the majorization theorem of connected graphs ⋮ The majorization theorem of extremal pseudographs ⋮ New method and new results on the order of spectral radius ⋮ The majorization theorem for signless Laplacian spectral radii of connected graphs ⋮ The spectral radius of bicyclic graphs with prescribed degree sequences ⋮ The majorization theorems of single-cone trees and single-cone unicyclic graphs ⋮ A further result on majorization theorem ⋮ Faber–Krahn type inequality for unicyclic graphs

Cites Work

• Unnamed Item
• The Laplacian spectral radii of trees with degree sequences
• Graphs with given degree sequence and maximal spectral radius
• On the spectral radius of (0,1)-matrices
• Recent results in the theory of graph spectra
• The spectral radius of trees on \(k\) pendant vertices
• The spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices

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