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BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS

open access: yes, 2018
We consider weighted graphs, such as graphs where the edge weights are positive definite matrices of the same order in this paper. The signless Laplacian eigenvalues of a graph are the eigenvalues of the signless Laplacian matrix of a graph G.
Nurkahli, Semiha Basdas   +2 more
core  

Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph

open access: yes
In this paper, we consider commuting conjugacy class graph (abbreviated as CCC-graph) of a finite group $G$ which is a graph with vertex set $\{x^G : x \in G \setminus Z(G)\}$ (where $x^G$ denotes the conjugacy class containing $x$) and two distinct ...
Nath, Rajat Kanti, Jannat, Firdous Ee
core  

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

open access: yesDiscrete Mathematics, Algorithms and Applications, 2018
The distance signless Laplacian spectral radius of a connected graph [Formula: see text] is the largest eigenvalue of the distance signless Laplacian matrix of [Formula: see text], defined as [Formula: see text], where [Formula: see text] is the distance
A. Alhevaz, M. Baghipur, Somnath Paul
semanticscholar   +4 more sources
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On the Sum of the Powers of Distance Signless Laplacian Eigenvalues of Graphs

Indian Journal of Pure and Applied Mathematics, 2020
S. Pirzada   +3 more
semanticscholar   +4 more sources

On the Second-Largest Reciprocal Distance Signless Laplacian Eigenvalue [PDF]

open access: yesMathematics, 2021
The signless Laplacian reciprocal distance matrix for a simple connected graph G is defined as RQ(G)=diag(RH(G))+RD(G). Here, RD(G) is the Harary matrix (also called reciprocal distance matrix) while diag(RH(G)) represents the diagonal matrix of the ...
Modjtaba Ghorbani   +2 more
exaly   +2 more sources

On the distance signless Laplacian Estrada index of graphs

Asian-European Journal of Mathematics, 2021
The distance signless Laplacian eigenvalues [Formula: see text] of a connected graph [Formula: see text] are the eigenvalues of the distance signless Laplacian matrix of [Formula: see text], defined as [Formula: see text], where [Formula: see text] is ...
A. Alhevaz   +3 more
semanticscholar   +1 more source

On generalized distance spectral radius and generalized distance energy of graphs

Discret. Math. Algorithms Appl., 2022
For a simple connected graph [Formula: see text], let [Formula: see text] and [Formula: see text] be the distance matrix and the diagonal matrix of the vertex transmissions, respectively. The convex linear combination [Formula: see text] of [Formula: see
Zia Ullah Khan, Xiao-Dong Zhang
semanticscholar   +1 more source

Bounds for peripheral distance signless Laplacian eigenvalues of graphs

Asian-European Journal of Mathematics, 2020
The eccentricity of a vertex [Formula: see text] in a graph [Formula: see text] is the maximum distance between [Formula: see text] and any other vertex of [Formula: see text] A vertex with maximum eccentricity is called a peripheral vertex.
A. Alhevaz   +3 more
semanticscholar   +1 more source

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