On the distance signless Laplacian spectral radius and the distance signless Laplacian energy of graphs

DOI10.1142/S1793830918500350zbMath1400.05143OpenAlexW2790688311MaRDI QIDQ4554566

Abdollah Alhevaz, Maryam Baghipur, Somnath Paul

Publication date: 14 November 2018

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830918500350

zbMATH Keywords

energyspectral radiusdistance signless Laplacian matrixtransmission regular

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Related Items (16)

On Distance Signless Laplacian Estrada Index and Energy of Graphs ⋮ NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS ⋮ Further results on the distance signless Laplacian spectrum of graphs ⋮ Some inequalities involving the distance signless Laplacian eigenvalues of graphs ⋮ On the spread of the distance signless Laplacian matrix of a graph ⋮ On generalized distance spectral radius and generalized distance energy of graphs ⋮ On generalized distance energy of graphs ⋮ On the \(D_\alpha\)-spectral radius of two types of graphs ⋮ Brouwer type conjecture for the eigenvalues of distance signless Laplacian matrix of a graph ⋮ On the sum of the distance signless Laplacian eigenvalues of a graph and some inequalities involving them ⋮ Bounds for peripheral distance signless Laplacian eigenvalues of graphs ⋮ Minimum covering reciprocal distance signless Laplacian energy of graphs ⋮ The minimum eccentric distance sum of trees with given distance k-domination number ⋮ On distance Laplacian spectrum (energy) of graphs ⋮ On the sum of the generalized distance eigenvalues of graphs ⋮ On the distance signless Laplacian Estrada index of graphs

Cites Work

• Further results on the spectral radius of matrices and graphs
• Two Laplacians for the distance matrix of a graph
• Laplacian energy of a graph
• Sharp bounds on the distance spectral radius and the distance energy of graphs
• Distance spectra of graphs: a survey
• Sharp bounds on the spectral radius of a nonnegative matrix
• On the distance and distance signless Laplacian spectral radii of bicyclic graphs
• On the distance signless Laplacian spectral radius of graphs
• Maximal energy graphs
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