Results 1 to 10 of about 534 (120)
On the spectral radius and energy of signless Laplacian matrix of digraphs. [PDF]
Heliyon, 2022 Let D be a digraph of order n and with a arcs. The signless Laplacian matrix Q(D) of D is defined as Q(D)=Deg(D)+A(D), where A(D) is the adjacency matrix and Deg(D) is the diagonal matrix of vertex out-degrees of D.
Ganie HA, Shang Y.
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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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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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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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Color laplacian and color signless laplacian energy of complement of subgroup graph of dihedral group [PDF]
, 2020 Laplacian and signless laplacian energy of a finite graph is the most interesting topics on areas of energy of a graph. The new concept of energy of a graph is color energy and furthermore color laplacian and color signless laplacian energy.
Abdussakir, Abdussakir +3 more
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Laplacian and signless laplacian spectra and energies of multi-step wheels
Mathematical Biosciences and Engineering, 2020 Energies and spectrum of graphs associated to different linear operators play a significant role in molecular chemistry, polymerisation, pharmacy, computer networking and communication systems.
Zheng-Qing Chu +4 more
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Color signless Laplacian energy of graphs
AKCE International Journal of Graphs and Combinatorics, 2017 In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families
Pradeep G. Bhat, Sabitha D’Souza
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On some aspects of the generalized Petersen graph [PDF]
Electronic Journal of Graph Theory and Applications, 2017 Let $p \ge 3$ be a positive integer and let $k \in {1, 2, ..., p-1} \ \lfloor p/2 \rfloor$. The generalized Petersen graph GP(p,k) has its vertex and edge set as $V(GP(p, k)) = \{u_i : i \in Zp\} \cup \{u_i^\prime : i \in Z_p\}$ and $E(GP(p, k)) = \{u_i ...
V. Yegnanarayanan
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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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