Results 1 to 10 of about 306 (75)
On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy [PDF]
Mathematics, 2020 In this article, we find sharp lower bounds for the spectral radius of the distance signless Laplacian matrix of a simple undirected connected graph and we apply these results to obtain sharp upper bounds for the distance signless Laplacian energy graph.
Luis Medina, Hans Nina, Macarena Trigo
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Ain Shams Engineering Journal, 2023 In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
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On distance signless Laplacian spectrum and energy of graphs [PDF]
Electronic Journal of Graph Theory and Applications, 2018 The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G) = Tr(G) + D(G), where D(G) is the distance matrix of G and Tr(G) is the diagonal ...
Abdollah Alhevaz +2 more
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Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs [PDF]
Mathematics, 2019 Suppose that G is a simple undirected connected graph. Denote by D ( G ) the distance matrix of G and by T r ( G ) the diagonal matrix of the vertex transmissions in G, and let α ∈ [ 0 , 1 ] .
Abdollah Alhevaz +2 more
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Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs [PDF]
Le Matematiche, 2019 Summary: In this paper, we study the eigenvalues of the reciprocal distance signless Laplacian matrix of a connected graph and obtain some bounds for the maximum eigenvalue of this matrix. We also focus on bipartite graphs and find some bounds for the spectral radius of the reciprocal distance signless Laplacian matrix of this class of graphs. Moreover,
A. Alhevaz, M. Baghipur, H.S. Ramane
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Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs [PDF]
Linear and Multilinear Algebra, 2021 In this paper we compute bounds for signless Laplacian energy, distance signless Laplacian eigenvalues and signless Laplacian energy of unitary addition Cayley graph G_{n}. We also obtain distance Laplacian eigenvalues and distance Laplacian energy of G_{n}.
P., Naveen, A. V, Chithra
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On graphs with minimal distance signless Laplacian energy [PDF]
Acta Universitatis Sapientiae, Mathematica, 2021 Abstract For a simple connected graph G of order n having distance signless Laplacian eigenvalues ρ
Pirzada S. +3 more
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On Distance Signless Laplacian Estrada Index and Energy of Graphs [PDF]
Kragujevac Journal of Mathematics, 2021 Summary: For a connected graph \(G\), the distance signless Laplacian matrix is defined as \(D^Q(G)=\mathrm{Tr}(G)+D(G)\), where \(D(G)\) is the distance matrix of \(G\) and \(\mathrm{Tr}(G)\) is the diagonal matrix of vertex transmissions of \(G\).
Alhevaz, Abdolla +2 more
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Sharp Bounds on (Generalized) Distance Energy of Graphs [PDF]
Mathematics, 2020 Given a simple connected graph G, let D ( G ) be the distance matrix, D L ( G ) be the distance Laplacian matrix, D Q ( G ) be the distance signless Laplacian matrix, and T r ( G ) be the vertex transmission ...
Abdollah Alhevaz +3 more
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On comparison between the distance energies of a connected graph [PDF]
HeliyonLet G be a simple connected graph of order n having Wiener index W(G). The distance, distance Laplacian and the distance signless Laplacian energies of G are respectively defined asDE(G)=∑i=1n|υiD|,DLE(G)=∑i=1n|υiL−Tr‾|andDSLE(G)=∑i=1n|υiQ−Tr‾|, where ...
Hilal A. Ganie +2 more
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