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On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs

Linear Algebra and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Gutman, Ivan
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Generalization for Laplacian energy

Applied Mathematics-A Journal of Chinese Universities, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jianping, Liu, Bolian
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On Relation Between Kirchhoff Index, Laplacian-Energy-Like Invariant and Laplacian Energy of Graphs

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Das, Kinkar Ch., Xu, Kexiang
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On distance Laplacian spectrum (energy) of graphs

Discrete Mathematics, Algorithms and Applications, 2020
For a simple connected graph [Formula: see text] of order [Formula: see text] having distance Laplacian eigenvalues [Formula: see text], the distance Laplacian energy [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the Wiener index of [Formula: see text]. We obtain the distance Laplacian spectrum of the joined union
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On the Energy and Spread of the Adjacency, Laplacian and Signless Laplacian Matrices of Graphs

Match Communications in Mathematical and in Computer Chemistry
In this paper, we explore the connection between the energy and spread of the adjacency, Laplacian, and signless Laplacian matrices for graphs. We then introduce new limitations for the energy and spread of these matrices, based on previous research and our findings.
Das, Kinkar Chandra   +2 more
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Partition Laplacian energy of a graph

2017
Summary: The partition energy of a graph was introduced by \textit{E. Sampathkumar} et al. [Proc. Jangjeon Math. Soc. 18, No. 4, 473--493 (2015; Zbl 1332.05115)]. In this paper, by the motivation of this new energy, the partition Laplacian energy \(\mathrm{LE}_p(G)\) of a graph is introduced and the \(\mathrm{LE}_p(G)\) of some important graph classes ...
Cangül, İsmail Naci   +2 more
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On the Laplacian coefficients and Laplacian-like energy of bicyclic graphs

Linear and Multilinear Algebra, 2012
Let be the characteristic polynomial of Laplacian matrix of an n-vertex graph G. We present three transforms on graphs that decrease all Laplacian coefficients c k (G), then we characterize the graphs with the minimal Laplacian-like energy, which is the sum of square roots of all roots on φ(G, λ), in the set of all bicyclic graphs with fixed order and ...
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Laplacian and Signless Laplacian Energy of Unitary Cayley Graphs

The Unitary Cayley graph Xn is a graph with vertex set Zn = {0; 1; :::; n - 1} and the edge set {ab/a; b in Zn; gcd(a - b, n) = 1}. In this paper we obtain the eigen values of Laplacian, Signless Laplacian matrix and Laplacian, Signless Laplacian energy of Uni- tary Cayley Graph Xn.
THILAGA C, SARASIJA P B
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Asymptotic Laplacian-energy-like invariant of lattices

Applied Mathematics and Computation, 2015
Xiang-Feng Pan   +2 more
exaly  

The Laplacian energy and Laplacian Estrada index of random multipartite graphs

Journal of Mathematical Analysis and Applications, 2016
Xiaogang Liu   +2 more
exaly  

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