The effect of graft transformations on distance signless Laplacian spectral radius

DOI10.1016/j.laa.2016.04.020zbMath1381.05045OpenAlexW2342326004MaRDI QIDQ286168

Bo Zhou, Hongying Lin

Publication date: 20 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.04.020

zbMATH Keywords

treemaximum degreedistance signless Laplacian spectral radiusgraft transformationnon-caterpillar treenon-starlike tree

Mathematics Subject Classification ID

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

Related Items (16)

Distance (signless) Laplacian spectral radius of uniform hypergraphs ⋮ Distance Signless Laplacian Eigenvalues, Diameter, and Clique Number ⋮ Bounds on the \(\alpha \)-distance energy and \(\alpha \)-distance Estrada index of graphs ⋮ On generalized distance spectral radius and generalized distance energy of graphs ⋮ The generalized distance matrix ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the multiplicity of distance signless Laplacian eigenvalues of graphs ⋮ On distance signless Laplacian spectrum of the complements of unicyclic graphs and trees ⋮ Unnamed Item ⋮ The generalized distance matrix of digraphs ⋮ Relation between the matching number and the second largest distance Laplacian eigenvalue of a graph ⋮ Matching number, connectivity and eigenvalues of distance signless Laplacians ⋮ On the distance \(\alpha \)-spectral radius of a connected graph ⋮ On the \(D_\alpha\)-spectral radius of cacti and bicyclic graphs ⋮ On the D_α-spectra of graphs

Cites Work

• Unnamed Item
• Two Laplacians for the distance matrix of a graph
• Proof of conjectures on the distance signless Laplacian eigenvalues of graphs
• On the distance spectral radius of bipartite graphs
• The effect of a graft transformation on distance spectral radius
• Distance spectra of graphs: a survey
• On the distance and distance signless Laplacian spectral radii of bicyclic graphs
• On the distance signless Laplacian of a graph
• On the distance spectral radius of trees
• On the distance signless Laplacian spectral radius of graphs
• Bounds on the distance signless Laplacian spectral radius in terms of clique number
• Distance spectral radius of trees with fixed maximum degree
• On the Addressing Problem for Loop Switching

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