Results 61 to 70 of about 11,404 (180)
Some remarks on Laplacian eigenvalues and Laplacian energy of graphs [PDF]
, 2010 Suppose $\mu_1$, $\mu_2$, ... , $\mu_n$ are Laplacian eigenvalues of a graph $G$. The Laplacian energy of $G$ is defined as $LE(G) = \sum_{i=1}^n|\mu_i - 2m/n|$. In this paper, some new bounds for the Laplacian eigenvalues and Laplacian energy of some
Ashrafi, Ali Reza +3 more
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SOME INEQUALITIES FOR THE GRAPH ENERGY OF DISTANCE LAPLACIAN MATRIX [PDF]
, 2022 In this paper, the distance laplacian energy for distance matrix is examined. Some bounds for the laplacian eigenvalues of distance matrix are expanded including the distances, the vertices and the edges.
GÖK, GÜLİSTAN KAYA
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Data for "Laplacian-level meta-GGA for the weakly-nonlocal solid and liquid metals" [PDF]
, 2022 This dataset contains all VASP inputs and outputs for the paper "Improved Laplacian-level meta-GGA for the weakly-nonlocal solid and liquid metals." For the preprint, see arXiv:2203.09403, and for the reference densities, fitting routines, and analysis ...
Kaplan, Aaron D., Perdew, John P.
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Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials
Advanced Nonlinear Studies, 2017 In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
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Bounds for Laplacian-type graph energies [PDF]
Miskolc Mathematical Notes, 2015 © 2015 Miskolc University Press. Let G be an undirected simple and connected graph with n vertices (n ≥ 3) and m edges. Denote by μ1 ≥ μ2 ≥ ... ≥ μn-1 > μn = 0, γ1 ≥ γ2 ≥ ... ≥ γn, and ρ1 ≥ ρ2 ≥ ... ≥ ρn-1 > ρn = 0, respectively, the Laplacian, signless Laplacian, and normalized Laplacian eigenvalues of G.
Gutman, Ivan +2 more
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Some improved bounds on two energy-like invariants of some derived graphs
Open Mathematics, 2019 Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
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Total π-electron energy and Laplacian energy: How far the analogy goes? [PDF]
Journal of the Serbian Chemical Society, 2007 The Laplacian energy LE is a newly introduced molecular-graph-based analog of the total π-electron energy E. It is shown that LE and E have a similar structure-dependency only when molecules of different sizes are compared, when a good linear correlation
Radenković Slavko, Gutman Ivan
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Certain Notions of Energy in Single-Valued Neutrosophic Graphs
Axioms, 2018 A single-valued neutrosophic set is an instance of a neutrosophic set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations.
Sumera Naz +2 more
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Laplacian energies of vertices
Linear Algebra and its ApplicationsIn this work, we define the Laplacian and Normalized Laplacian energies of vertices in a graph, we derive some of its properties and relate them to combinatorial, spectral and geometric quantities of the graph.
openaire +3 more sources
Laplacian and signless-laplacian energies of closed shadow graphs [PDF]
, 2022 In 2005, I. Gutman and B. Zhou introduced the notion of Laplacian energy, which is defined as the sum of the differences between the Laplacian eigenvalues of the graph and the average degree of vertices in the graph.
Sung, Inseok
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