单圈图的次小Randic指数
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The Second Minimum Randic Index in Unicyclic Graphs
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    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.

    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 .

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桂云.单圈图的次小Randic指数[J].重庆工商大学学报(自然科学版),2015,32(4):12-15
GUI Yun. The Second Minimum Randic Index in Unicyclic Graphs[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(4):12-15

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