On the Merrifield-Simmons Indices and Hosoya Indices of Cyclic Graphs

Wenting Zheng; Hongmei Liu; Zhen Yu

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On the Merrifield-Simmons Indices and Hosoya Indices of Cyclic Graphs

机译：关于循环图的Merrifield-Simmons指数和Hosoya指数

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摘要

The Merrifield-Simmons index and Hosoya index are denned as the number of the graph G(V, E) as the number of subsets of V(G) in which no tow vertices are adjacent and the number of subsets of E(G) in which no two edges are incident, respectively. In this paper, we characterize the Unicyclic graphs with Merrifield-Simmons indices and Hosoya indices, respectively. And double-cyclic graphs with Hosoya indices among the double-cyclic graphs with n vertices.

机译：Merrifield-Simmons索引和Hosoya索引的定义为图G（V，E）的数目，其中图V（G）的子集数不相邻，两个顶点不相邻，而E（G）的子集数分别没有两个边缘入射。在本文中，我们分别用Merrifield-Simmons指数和Hosoya指数表征单环图。在具有n个顶点的双环图中，具有Hosoya索引的双环图。

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来源
《Journal of systems science & information》 |2009年第2期|111-118|共8页
作者
Wenting Zheng; Hongmei Liu; Zhen Yu;
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作者单位

College of Science, Three Gorges University, Yichang 443002, China;

College of Science, Three Gorges University, Yichang 443002, China;

College of Science, Three Gorges University, Yichang 443002, China;

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正文语种 eng
中图分类
关键词
Merrifield-Simmons index; Hosoya index; unicyclic graph; double-cyclic graph; grith;

机译：Merrifield-Simmons指数;细谷指数单环图双环图悲伤;

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专利

1. On the Merrifield-Simmons Indices and Hosoya Indices of Cyclic Graphs [J] . Wenting Zheng, Hongmei Liu, Zhen Yu 系统科学与信息学报：英文版 . 2009,第002期

机译：关于循环图的Merrifield-Simmons指数和Hosoya指数
2. The Hosoya indices and Merrifield-Simmons indices of graphs with connectivity at most k [J] . Xu K., Li J., Zhong L. Applied mathematics letters . 2012,第3期

机译：连通度最大为k的图的Hosoya指数和Merrifield-Simmons指数
3. The Hosoya indices and Merrifield-Simmons indices of graphs with connectivity at most k [J] . Xu K., Li J., Zhong L. Applied mathematics letters . 2012,第3期

机译：连通度最大为k的图的Hosoya指数和Merrifield-Simmons指数
4. On the Trees Whose Merrifield-Simmons Indices Belong a Closed Interval [C] . Xiyun Sun, Qiong Ji, Chengfu Ye 2010 Second WRI World Congress on Software Engineering . 2010

机译：关于Merrifield-Simmons指数属于封闭区间的树
5. The Impact of One Night of Sleep Deprivation on Social Decision-Making and the Neural Basis of This Relationship as Evidenced by Electroencephalographic (EEG) Indices [D] . Li, Cheng. 2021

机译：一夜睡眠剥夺对社会决策的影响和这种关系的神经基础，通过脑电图（EEG）指数证明
6. Structural Differentiation of Graphs Using Hosoya-Based Indices [O] . Matthias Dehmer, Abbe Mowshowitz, Yongtang Shi -1

机译：基于Hosoya指数的图结构微分
7. The Hosoya indices and Merrifield–Simmons indices of graphs with connectivity at most k [O] . Xu Kexiang, Li Jianxi, Zhong Lingping 2012

机译：连通度最大为k的图的Hosoya索引和Merrifield-Simmons索引

On the Merrifield-Simmons Indices and Hosoya Indices of Cyclic Graphs

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