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单圈图的Hosoya指数序
引用本文:肖正明,陈暑波.单圈图的Hosoya指数序[J].湖南城建高等专科学校学报,2009(2):45-47.
作者姓名:肖正明  陈暑波
作者单位:[1]湖南工业大学,湖南株洲412008 [2]湖南城市学院数学与计算科学系,湖南益阳413000
摘    要:设m(G,k)表示图G的k-匹配数,z(G)表示图G的Hosoya指数,它是所有m(G,k)的总和,Hosoya指数是化学图论中一个重要的拓扑指数,通过单圈图的分析给出了Hosoya指数前八小的单圈图.

关 键 词:Hosoya指数  匹配  单圈图

Ordering Unicyclic Graphs with Respect to Hosoya Index
XIAO Zheng-ming,CHEN Shu-bo.Ordering Unicyclic Graphs with Respect to Hosoya Index[J].Journal of Hunan Urban Construction College,2009(2):45-47.
Authors:XIAO Zheng-ming  CHEN Shu-bo
Affiliation:1. Hunan University of Technology, Zhuzhou, Hunan 412008; 2. Department of Mathematics and Computer Science, Hunan City University Yiyang, Hunan 413000, China)
Abstract:Let m(G, k) be the k - matching of graph G and z(G) being the Hosoya index of the graph G , is the total number of re(G, k). The Hosoya index is the most important topological index of chemical graph theory. We shall investigate the Hosoya index of unicyclic graphs and get the first eighth smallest unicyclic graphs with respect to the Hosoya index.
Keywords:Hosoya index  matching  unicyclic graph  
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