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Enumeration of the Additive Degree–Kirchhoff Index in the Random Polygonal Chains
Axioms, 2022 The additive degree–Kirchhoff index is an important topological index. This paper we devote to establishing the explicit analytical expression for the simple formulae of the expected value of the additive degree–Kirchhoff index in a random polygon. Based
Xianya Geng, Wanlin Zhu
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The expected values for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random cyclooctatetraene chain [PDF]
, 2021 In this paper, we mainly solve the explicit analytical expressions for the expected values of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random cyclooctatetraene chain with $n$ octagons.
Xianya Geng, Jinfeng Qi, Minjie Zhang
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Journal of Function Spaces, 2023 There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory.
Jia-Bao Liu, Qing Xie, Jiao-Jiao Gu
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Resistance Distances and Kirchhoff Indices Under Graph Operations
IEEE Access, 2020 The resistance distance between any two vertices of a connected graph $G$ is defined as the net effective resistance between them in the electrical network constructed from $G$ by replacing each edge with a unit resistor. The Kirchhoff index of $G$
Yujun Yang, Yue Yu
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, 2022 There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random chain networks PGn with the help of graph theory. We first solve the expected value expressions of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff
Liu, Jia-Bao, Xie, Qing, Gu, Jiao-Jiao
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New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index
Croatica Chemica Acta, 2013 Given a simple connected graph on $N$ vertices with size $|E|$ and degree sequence $d_{1}\leq d_{2}\leq ...\leq d_{N}$, the aim of this paper is to exhibit new upper and lower bounds for the additive degree-Kirchhoff index in closed forms, not containing effective resistances but a few invariants $(N,|E|$ and the degrees $d_{i}$) and applicable in ...
Torriero, Anna +3 more
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Effective resistances and Kirchhoff index in subdivision networks [PDF]
, 2016 We define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network.
Carmona Mejías, Ángeles +2 more
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On rate-dependent dissipation effects in electro-elasticity [PDF]
, 2014 This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechanical viscoelasticity of the polymer as well as due to time-dependent ...
Saxena, Prashant +2 more
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Orthotropic rotation-free thin shell elements [PDF]
, 2015 A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction for all ...
Herrmann, Hans J. +3 more
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