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Bounds on the Reciprocal distance energy and Reciprocal distance Laplacian energies of a graph

Linear and multilinear algebra, 2020
Let G be a simple undirected connected graph. In this article, we find bounds on the Reciprocal Distance Energy, Reciprocal Distance Laplacian Energy and Reciprocal Distance signless Laplacian Energy.
Luis Medina, Macarena Trigo
semanticscholar   +1 more source

THE DISTANCE RELATED SPECTRA OF SOME SUBDIVISION RELATED GRAPHS

Journal of Computer Science and Applied Mathematics, 2021
Let $G$ be a connected graph with a distance matrix $D$. The distance eigenvalues of $G$ are the eigenvalues of $D$, and the distance energy $E_D(G)$ is the sum of its absolute values.
Indulal Gopalapillai, Deena C. Scaria
semanticscholar   +1 more source

On the sum of the distance signless Laplacian eigenvalues of a graph and some inequalities involving them

Discrete Mathematics, Algorithms and Applications (DMAA), 2019
The distance signless Laplacian matrix of a connected graph [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the distance matrix of [Formula: see text] and [Formula: see text] is the diagonal matrix of vertex ...
A. Alhevaz   +3 more
semanticscholar   +1 more source

Two Laplacians for the resistance distance matrix of a graph

Rendiconti del Circolo Matematico di Palermo Series 2
In this paper, we study the resistance Laplacian and the resistance signless Laplacian matrix associated with a connected graph. We provide the general form of these matrices for various types of graphs, including complete graphs, complete bipartite ...
S. Parab, Raisa Dsouza
semanticscholar   +1 more source

On (distance) signless Laplacian spectra of graphs

Journal of Applied Mathematics and Computing, 2021
Kinkar Chandra Das, B R Rakshith
exaly  

Brouwer type conjecture for the eigenvalues of distance signless Laplacian matrix of a graph

Linear and Multilinear Algebra, 2021
Abdollah Alhevaz   +2 more
exaly  

On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs

Discrete Applied Mathematics, 2018
Mustapha Aouchiche   +2 more
exaly  

On the distance signless Laplacian spectral radius of graphs

Linear and Multilinear Algebra, 2014
Bo Zhou, Shuchao Li
exaly  

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