Results 31 to 40 of about 4,385,040 (261)
Kirchhoff Indexes of a network
Linear Algebra and its Applications, 2010 In this work we define the effective resistance between any pair of vertices with respect to a value λ ≥ 0 and a weight ω on the vertex set. This allows us to consider a generalization of the Kirchhoff Index of a finite network. It turns out that λ is the lowest eigenvalue of a suitable semi-definite positive Schrödinger operator and ω is the ...
Bendito Pérez, Enrique +4 more
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On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs [PDF]
Mathematics Interdisciplinary Research, 2017 Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ1 ≥ μ2 ≥...≥μn-1 >μn=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as Kf(G)=nΣi=1n-11/μi and LEL(G)=Σi=1n-1
Emina Milovanovic +2 more
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Topological atomic displacements, Kirchhoff and Wiener indices of molecules [PDF]
, 2009 We provide a physical interpretation of the Kirchhoff index of any molecules as well as of the Wiener index of acyclic ones. For the purpose, we use a local vertex invariant that is obtained from first principles and describes the atomic displacements ...
Estrada, Ernesto, Hatano, Naomichi
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Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Rundan, Zhou, Bo
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Upper and Lower Bounds for the Kirchhoff Index of the n-Dimensional Hypercube Network
Complexity, 2020 The hypercube Qn is one of the most admirable and efficient interconnection network due to its excellent performance for some practical applications. The Kirchhoff index KfG is equal to the sum of resistance distances between any pairs of vertices in ...
Jia-Bao Liu +4 more
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Kirchhoff Index of Cyclopolyacenes
Zeitschrift für Naturforschung A, 2010 The resistance distance between two vertices of a connected graph G is computed as the effective resistance between them in the corresponding network constructed from G by replacing each edge with a unit resistor. The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices. In this paper, following the method of Y. J. Yang
Yan Wang, Wenwen Zhang
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Mean Hitting Time for Random Walks on a Class of Sparse Networks
Entropy, 2021 For random walks on a complex network, the configuration of a network that provides optimal or suboptimal navigation efficiency is meaningful research. It has been proven that a complete graph has the exact minimal mean hitting time, which grows linearly
Jing Su, Xiaomin Wang, Bing Yao
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Nordhaus-Gaddum-Type Results for Resistance Distance-Based Graph Invariants
Discussiones Mathematicae Graph Theory, 2016 Two decades ago, resistance distance was introduced to characterize “chemical distance” in (molecular) graphs. In this paper, we consider three resistance distance-based graph invariants, namely, the Kirchhoff index, the additive degree-Kirchhoff index ...
Das Kinkar Ch., Yang Yujun, Xu Kexiang
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Validation of Fresnel–Kirchhoff Integral Method for the Study of Volume Dielectric Bodies
Applied Sciences, 2021 In this work, we test a nondestructive optical method based on the Fresnel–Kirchhoff integral, which could be applied to different fields of engineering, such as detection of small cracks in structures, determination of dimensions for small components ...
Soumia Imane Taleb +7 more
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A Vibrational Approach to Node Centrality and Vulnerability in Complex Networks [PDF]
, 2009 We propose a new measure of vulnerability of a node in a complex network. The measure is based on the analogy in which the nodes of the network are represented by balls and the links are identified with springs.
Barthelemy +31 more
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