On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs
Discrete Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Das, M. Aouchiche, P. Hansen
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Generalized Characteristic Polynomials of Join Graphs and Their Applications
Discrete Dynamics in Nature and Society, 2017 The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices of G in electrical networks. LEL(G) is the Laplacian-Energy-Like Invariant of G in chemistry.
Pengli Lu, Ke Gao, Yang Yang
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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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Bounds for the signless Laplacian energy of digraphs
Indian Journal of Pure and Applied Mathematics, 2017 The paper under review gives upper and lower bounds for the signless Laplacian energy of finite directed graphs without loops and multiple arcs but perhaps with a pair of oppositely directed arcs joining the same pair of vertices. The signless Laplacian is defined to be \(Q=D+A,\) where \(D\) is the diagonal matrix with outdegrees of vertices along the
Weige Xi, Ligong Wang
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The signless Laplacian coefficients and the incidence energy of graphs with a given bipartition
Filomat, 2020 We consider two classes of the graphs with a given bipartition. One is trees and the other is unicyclic graphs. The signless Laplacian coefficients and the incidence energy are investigated for the sets of trees/unicyclic graphs with n vertices in which each tree/unicyclic graph has an (n1,n2)-bipartition, where n1 and n2 are positive integers
Lei Zhong, Wen-Huan Wang
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New upper bounds for the energy and signless Laplacian energy of a graph [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2015 Rao Li
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Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs [PDF]
In this paper, we compute common neighbourhood Laplacian spectrum, common neighbourhood signless Laplacian spectrum and their respective energies of commuting graph of some finite non-abelian groups including some AC-groups, groups whose central quotients are isomorphic to $Sz(2)$, $\mathbb{Z}_p\times \mathbb{Z}_p$ or $D_{2m}$.
Firdous Ee Jannat, Rajat Kanti Nath
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On the bounds for signless Laplacian energy of a graph
Discrete Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hilal A. Ganie, S. Pirzada
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Signless Laplacian Energy and Spectral Radius of a Graph
Discrete Applied MathematicsYuanyuan Chen, Shuting Liu, Yidong Wang
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Signless Laplacian energies of non-commuting graphs of finite groups and related results [PDF]
Discrete Mathematics, Algorithms and Applications, 2023 The non-commuting graph of a non-abelian group [Formula: see text] with center [Formula: see text] is a simple undirected graph whose vertex set is [Formula: see text] and two vertices [Formula: see text] are adjacent if [Formula: see text]. In this paper, we compute Signless Laplacian spectrum and Signless Laplacian energy of non-commuting graphs of ...
Monalisha Sharma, Rajat Kanti Nath
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