| 随机聚苯链的基尔霍夫指标 |
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| 引用本文： | 曹月芬,李美莲. 随机聚苯链的基尔霍夫指标[J]. 集美大学学报(自然科学版), 2021, 26(6): 552-555. DOI: 10.19715/j.jmuzr.2021.06.09 |
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| 作者姓名： | 曹月芬 李美莲 |
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| 作者单位： | (1.集美大学理学院，福建 厦门 361021;2.龙岩学院数学与信息工程学院，福建 龙岩 364012） |
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| 摘 要： | 连通图G的基尔霍夫指标Kf(G)定义为图G中所有点对之间的电阻距离之和.为了得出随机聚苯链的基尔霍夫指标,利用数学期望的定义及性质,得到一个随机聚苯链的基尔霍夫指标的期望值的精确公式.
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| 关 键 词： | 基尔霍夫指标 随机聚苯链 电阻距离 |
Kirchhoff Index of Random Polyphenyl Chains |
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| CAO Yuefen,LI Meilian. Kirchhoff Index of Random Polyphenyl Chains[J]. the Editorial Board of Jimei University(Natural Science), 2021, 26(6): 552-555. DOI: 10.19715/j.jmuzr.2021.06.09 |
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| Authors: | CAO Yuefen LI Meilian |
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| Affiliation: | (1.School of Science，Jimei University，Xiamen 361021，China;2.School of Mathematics and Information Engineering，Longyan University，Longyan 364012,China) |
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| Abstract: | The Kirchhoff index of a connected graph was the sum of the resistance distance between all pairs of vertices of the graph.In order to get the Kirchhoff index of random polyphenyl chains，this paper made use of the definition and its linear properties of mathematical expectation，and a simple exact formula for the expected value of the Kirchhoff index of a random polyphenyl chains was consequently obtained. |
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| Keywords: | Kirchhoff index random polyphenyl chains resistance distance |
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