The changes in distance Laplacian spectral radius of graphs resulting from graft transformations

DOI10.1016/j.dam.2016.11.011zbMath1354.05081OpenAlexW2567391689MaRDI QIDQ505436

Hongying Lin, Bo Zhou

Publication date: 23 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.dam.2016.11.011

zbMATH Keywords

clique numberdistance Laplacian matrixdistance Laplacian spectral radiusgraft transformationnon-caterpillar treenon-starlike tree

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Connectivity (05C40)

Related Items (9)

Distance (signless) Laplacian spectral radius of uniform hypergraphs ⋮ On the distance Laplacian spectral radius of bicyclic graphs ⋮ The distance Laplacian spectral radius of clique trees ⋮ Distance Laplacian spectral radius of the complements of trees and unicyclic graphs ⋮ Lower bounds of distance Laplacian spectral radii of \(n\)-vertex graphs in terms of fractional matching number ⋮ On the first two largest distance Laplacian eigenvalues of unicyclic graphs ⋮ Relation between the matching number and the second largest distance Laplacian eigenvalue of a graph ⋮ Extremal results on distance Laplacian spectral radius of graphs ⋮ Distance Laplacian spectra of various graph operations and its application to graphs on algebraic structures

Cites Work

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• Two Laplacians for the distance matrix of a graph
• On the distance Laplacian spectra of graphs
• Graph functions maximized on a path
• Distance spectra of graphs: a survey
• Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues of a graph
• On the distance Laplacian spectral radius of bipartite graphs
• On the distance Laplacian spectral radius of graphs
• Some properties of the distance Laplacian eigenvalues of a graph
• On the Addressing Problem for Loop Switching

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