Sharp upper bounds on the distance energies of a graph

DOI10.1016/j.laa.2018.01.032zbMath1390.05124OpenAlexW2790264134MaRDI QIDQ1743073

Roberto C. Díaz, Oscar Rojo

Publication date: 12 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.01.032

zbMATH Keywords

distance matrixdistance energyvertex transmissiondistance Laplacian energydistance signless Laplacian energy

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42)

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Cites Work

• 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
• A decreasing sequence of upper bounds on the largest Laplacian eigenvalue of a graph.
• On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs
• Distance spectra of graphs: a survey
• On graphs with near minimal distance energy
• On the distance signless Laplacian of a graph
• On the distance signless Laplacian spectral radius of graphs
• Matrix Analysis
• Distance spectrum and energy of graphs with small diameter
• Some properties of the distance Laplacian eigenvalues of a graph
• Maximal energy graphs
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