Enumeration of the Multiplicative Degree-Kirchhoff Index in the Random Polygonal Chains [PDF]
Molecules, 2022 Multiplicative degree-Kirchhoff index is a very interesting topological index. In this article, we compute analytical expression for the expected value of the Multiplicative degree-Kirchhoff index in a random polygonal. Based on the result above, we also
Wanlin Zhu, Xianya Geng
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The Extremal Cacti on Multiplicative Degree-Kirchhoff Index [PDF]
Mathematics, 2019 For a graph G, the resistance distance r G ( x , y ) is defined to be the effective resistance between vertices x and y, the multiplicative degree-Kirchhoff index R ∗ ( G ) = ∑ { x , y } ⊂ V ( G ) d G ( x ) d G
Fangguo He, Zhongxun Zhu
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The (Multiplicative Degree-) Kirchhoff Index of Graphs Derived from the Cartesian Product of Sn and K2 [PDF]
Journal of Mathematics, 2022 It is well known that many topological indices have widespread use in lots of fields about scientific research, and the Kirchhoff index plays a major role in many different sectors over the years. Recently, Li et al. (Appl. Math. Comput.
Jia-Bao Liu +3 more
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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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The expected values and limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-kirchhoff index of a random cyclooctane chain [PDF]
, 2022 21 pages, 3 ...
Jia‐Bao Liu, Jiaojiao Gu, Kang Wang
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The expected values, variances and limiting distributions of Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index for a class of random chain networks [PDF]
, 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
Jia‐Bao Liu, Qing Xie, Jiaojiao Gu
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Expected Value of Multiplicative Degree-Kirchhoff Index in Random Polygonal Chains
Mathematical Biosciences and Engineering, 2022 <abstract><p>The multiplicative degree-Kirchhoff index is a significant topological index. This paper is devoted to the exact formulas for the expected value of the multiplicative degree-Kirchhoff index in random polygonal chains. Moreover, on the basis of the result above, the multiplicative degree-Kirchhoff index of all polygonal chains ...
Xinmei Liu, Xinfeng Liang, Xianya Geng
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Kirchhoff index, multiplicative degree-Kirchhoff index and spanning trees of the linear crossed polyomino chains [PDF]
, 2019 Let $G_n$ be a linear crossed polyomino chain with $n$ four-order complete graphs. In this paper, explicit formulas for the Kirchhoff index, the multiplicative degree-Kirchhoff index and the number of spanning trees of $G_n$ are determined, respectively. It is interesting to find that the Kirchhoff (resp. multiplicative degree-Kirchhoff) index of $G_n$
Yingui Pan, Jianping Li
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Multiplicative Degree-Kirchhoff Index of Random Polyphenyl Chains [PDF]
Sensors and Materials, 2021 Meilian Li +3 more
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The multiplicative degree-Kirchhoff index and complexity of a class of linear networks
AIMS Mathematics<abstract><p>In this paper, we focus on the strong product of the pentagonal networks. Let $ R_{n} $ be a pentagonal network composed of $ 2n $ pentagons and $ n $ quadrilaterals. Let $ P_{n}^{2} $ denote the graph formed by the strong product of $ R_{n} $ and its copy $ R_{n}^{\prime} $.
Jia‐Bao Liu, Kang Wang
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