| 单圈图的Merrifield-Simmons指数的极值图 |
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| 引用本文： | 肖正明.单圈图的Merrifield-Simmons指数的极值图[J].湖南工业大学学报,2009,23(4):30-32. |
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| 作者姓名： | 肖正明 |
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| 作者单位： | 湖南工业大学,湖南,株洲,412008 |
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| 摘 要： | 用i(G)表示图G的Merrifield-Simmons指数,定义为G的独立集数目.利用图的关于Merrifield-Simmons指数的变换技巧,研究了单圈图的Merrifield-Simmons指数,得到Merrifield-Simmons指数前八大的单圈图,刻画了极值图.
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| 关 键 词： | Merrifield-Simmons指数 独立集 单圈图 |
| 收稿时间： | 2009/3/31 0:00:00 |
Extremal Graphs with Respect to Merrifield-Simmons Index of Unicyclic Graphs |
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| Xiao Zhengming.Extremal Graphs with Respect to Merrifield-Simmons Index of Unicyclic Graphs[J].Journal of Hnnnan University of Technology,2009,23(4):30-32. |
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| Authors: | Xiao Zhengming |
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| Affiliation: | Hunan University of Technology |
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| Abstract: | Uses i(G) to denote Merrifield-Simmons index of graph G and defines it as the number of the independent sets of G. Investigates the Merrifield-Simmons index of unicyclic graphs by the technique of graphs transformation on Merrifield-Simmons index, obtains the first eight largest unicyclic graphs with respect to Merrifield-Simmons index, and depicts the extremal graphs. |
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