Characterization of extremal graphs from distance signless Laplacian eigenvalues

DOI10.1016/j.laa.2016.03.017zbMath1334.05083OpenAlexW2308085849MaRDI QIDQ272345

Huiqiu Lin, Kinkar Chandra Das

Publication date: 20 April 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.2016.03.017

zbMATH Keywords

independence numberdistance signless Laplacian eigenvaluesdistance signless Laplacian matrix

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (15)

NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS ⋮ On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤ_n ⋮ On (distance) signless Laplacian spectra of graphs ⋮ On the \(A_\alpha\)-spectra of graphs ⋮ On Schatten \(p\)-norm of the distance matrices of graphs ⋮ On the multiplicity of distance signless Laplacian eigenvalues of graphs ⋮ Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs ⋮ On distance signless Laplacian spectrum of the complements of unicyclic graphs and trees ⋮ Relation between the matching number and the second largest distance Laplacian eigenvalue of a graph ⋮ Distance matrices on the \textit{H-join} of graphs: a general result and applications ⋮ Matching number, connectivity and eigenvalues of distance signless Laplacians ⋮ Unnamed Item ⋮ Distance signless Laplacian eigenvalues of graphs ⋮ On distance signless Laplacian spectrum and energy of 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
• Signless Laplacians of finite graphs
• Commutativity and spectra of Hermitian matrices
• On the second largest eigenvalue of the signless Laplacian
• On the distance and distance signless Laplacian spectral radii of bicyclic graphs
• On the distance signless Laplacian of a graph
• On the distance signless Laplacian spectral radius of graphs
• Bounds on the distance signless Laplacian spectral radius in terms of clique number
• A characterization of the smallest eigenvalue of a graph

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