Ordering (signless) Laplacian spectral radii with maximum degrees of graphs

DOI10.1016/j.disc.2014.09.007zbMath1303.05118OpenAlexW1964442407MaRDI QIDQ472959

Bo Cheng, Muhuo Liu, Bo Lian Liu

Publication date: 20 November 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2014.09.007

zbMATH Keywords

orderingmaximum degree(signless) Laplacian spectral radius

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex degrees (05C07)

Related Items (12)

Ordering graphs by their largest (least) A_α-eigenvalues ⋮ Sharp upper bounds on the signless Laplacian spectral radius of strongly connected digraphs ⋮ Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues ⋮ Ordering \(Q\)-indices of graphs: given size and circumference ⋮ The A_α-spectral radius of dense graphs ⋮ Maximize the \(Q\)-index of graphs with fixed order and size ⋮ A note on (signless) Laplacian spectral ordering with maximum degrees of graphs ⋮ Unnamed Item ⋮ The quasi-tree graph with maximum Laplacian spread ⋮ Unnamed Item ⋮ Ordering graphs with given size by their signless Laplacian spectral radii ⋮ On the sum of the two largest Laplacian eigenvalues of unicyclic graphs

Cites Work

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• The Laplacian spectral radius of trees and maximum vertex degree
• On the Laplacian spectral radii of bicyclic graphs
• On the Laplacian spectral radii of trees
• The signless Laplacian spread
• A note on Laplacian graph eigenvalues
• Laplacian matrices of graphs: A survey
• The Laplacian spectrum of a graph

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