A further result on majorization theorem

DOI10.1080/03081087.2010.495720zbMath1222.05115OpenAlexW2041436087MaRDI QIDQ3090741

Yingluan Liu, Bo Lian Liu, Xiao-yan Jiang

Publication date: 1 September 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.495720

zbMATH Keywords

spectral radiusmajorizationbicyclic

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

The general spectral radii of (multicone-)graphs with prescribed degree sequence ⋮ The majorization theorem of extremal pseudographs ⋮ New method and new results on the order of spectral radius ⋮ Unified extremal results for \(k\)-apex unicyclic graphs (trees) ⋮ Unified extremal results of topological indices and spectral invariants of graphs ⋮ The majorization theorems of single-cone trees and single-cone unicyclic graphs

Cites Work

• Unnamed Item
• The Laplacian spectral radii of trees with degree sequences
• The majorization theorem of connected graphs
• A Faber-Krahn-type inequality for regular trees
• On the spectral radius of graphs with cut edges
• Some results on the index of unicyclic graphs
• The spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices
• On the spectral radius of bicyclic graphs