| 摘要: |
| 一个图G的Randic指数定义为R(G)=〖DD(X〗(x,y)∈E(G)〖DD)〗〖JB(［〗d(x)d(y)〖JB)］〗-〖SX(〗1〖〗2〖SX)〗，Randic指数是分子拓扑学中的重要指数；一种物质的理化性质与其分子结构图的Randic指数有相关性；Randic指数主要的研究是寻找某种类型图的Randic指数极值或次极值；具有最小Randic指数的单圈图为S+n，在此基础上导出具有次小Randic指数的单圈图G*n． |
| 关键词: 单圈图 次小 Randic指数 |
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| The Second Minimum Randic Index in Unicyclic Graphs |
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GUI Yun
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| Abstract: |
| he Randic index R(G) of graph G is defined as R(G)=〖DD(X〗(x,y)∈E(G)〖DD)〗〖JB(［〗d(x)d(y)〖JB)］〗-〖SX(〗1〖〗2〖SX)〗. The Randic index is an important index in molecular topology. There is a good correlation between physical and chemical properties of certain substance and Randic index of its molecular structure. Randic index is used to find the minimum and second minimum R-values in (pertinently chosen) classes of graphs. Unicyclic graph with minimum Randic index is S+n, on the basis of which, this paper gives the second minimum Randic index of unicyclic graphs G*n . |
| Key words: Unicyclic graph second minimum Randic index |
