Results 21 to 30 of about 41,978 (137)
Remark on the Laplacian-energy-like and Laplacian incidence energy invariants of graphs [PDF]
Creative Mathematics and Informatics, 2015 Let G be an undirected connected graph with n vertices and m edges, n ≥ 3, and let µ1 ≥ µ2 ≥ · · · ≥ µn−1 > µn = 0 and ρ1 ≥ ρ2 ≥ · · · ≥ ρn−1 > ρn = 0 be Laplacian and normalized Laplacian eigenvalues of G, respectively. The Laplacian-energy-like (LEL) invariant of graph G is defined as... The Laplacian incidence energy of graph is defined as LIE(
Igor Milovanović +3 more
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Asymptotic Laplacian-Energy-Like Invariant of Lattices [PDF]
, 2014 Let $\mu_1\ge \mu_2\ge\cdots\ge\mu_n$ denote the Laplacian eigenvalues of $G$ with $n$ vertices. The Laplacian-energy-like invariant, denoted by $LEL(G)= \sum_{i=1}^{n-1}\sqrt{\mu_i}$, is a novel topological index.
Jia‐Bao Liu +3 more
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Asymptotic incidence energy and Laplacian-energy-like invariant of the Union Jack lattice [PDF]
, 2015 The incidence energy $\mathscr{IE}(G)$ of a graph $G$, defined as the sum of the singular values of the incidence matrix of a graph $G$, is a much studied quantity with well known applications in chemical physics. The Laplacian-energy-like invariant of $G$ is defined as the sum of square roots of the Laplacian eigenvalues.
Jia-Bao Liua, Xiang-Feng Pan
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The Extremal Graphs of Some Topological Indices with Given Vertex k-Partiteness
Mathematics, 2018 The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index,
Fang Gao +3 more
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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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Coulson-type integral formulas for the general Laplacian energy-like invariant of graphs II
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu Qiao, Shenggui Zhang, Jing Li
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A Generalization of the Incidence Energy and the Laplacian-Energy-Like Invariant
, 2018 For a graph G and a real number alpha, the graph invariant s(alpha)(G) is the sum of the alpha th powers of the signless Laplacian eigenvalues and sigma(alpha)(G) is the sum of the alpha th powers of the Laplacian eigenvalues of G. In this study, for appropriate vales of alpha, we give some bounds for the generalized versions of incidence energy and of
Ezgi Kaya, A. Dılek Maden
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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(Generalized) Incidence and Laplacian-Like Energies
Journal of Mathematics, 2023 In this study, for graph Γ with r connected components (also for connected nonbipartite and connected bipartite graphs) and a real number ε≠0,1, we found generalized and improved bounds for the sum of ε-th powers of Laplacian and signless Laplacian ...
A. Dilek Maden, Mohammad Tariq Rahim
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Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan +3 more
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