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BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS
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
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Sharp upper bounds on the distance energies of a graph
Roberto C. Díaz, O. Rojo
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Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph
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
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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
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On the Sum of the Powers of Distance Signless Laplacian Eigenvalues of Graphs
Indian Journal of Pure and Applied Mathematics, 2020S. Pirzada +3 more
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On the Second-Largest Reciprocal Distance Signless Laplacian Eigenvalue [PDF]
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
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On the distance signless Laplacian Estrada index of graphs
Asian-European Journal of Mathematics, 2021The 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
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On generalized distance spectral radius and generalized distance energy of graphs
Discret. Math. Algorithms Appl., 2022For 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
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Bounds for peripheral distance signless Laplacian eigenvalues of graphs
Asian-European Journal of Mathematics, 2020The 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
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Distance (signless) Laplacian spectra and energies of two classes of cyclic polyomino chains
Applied Mathematics and ComputationYong-Hong Zhang, Ligong Wang
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