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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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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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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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The normalized Laplacian spectrum of subdivisions of a graph [PDF]
, 2016 Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties ...
Comellas Padró, Francesc de Paula +2 more
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