饱和链烃的Hosoya指数与其分子结构的匹配多项式及根  

The Hosoya Index of Saturated Hydrocarbons with Its Matching Polynomials

作　　者：张海良[1,2] 吴丹霞[2] 

机构地区：[1]华东师范大学数学系,上海200214 [2]台州学院数学与信息工程学院,浙江临海317000

出　　处：《大学数学》2011年第4期23-28,共6页College Mathematics

基　　金：台州学院青年项目(2010QN11)

摘　　要：一个图的Hosoya指数实际上是该图的匹配多项式的系数之和.我们计算了40种饱和链烃的Hosoya指数和其分子结构图的匹配多项式以及匹配多项式的最大根,最后经过通过SPSS10.0软件进行曲线拟合发现各饱和链烃的沸点与Hosoya指数具有对数函数的关系,如下:其沸点b.p.(℃)=-98.674+64.5488*ln(H(G)),拟合优度r=0.9815.而且比匹配多项式的根有更好的相关性.We calculate the Hosoya index of 40 kinds of saturated hydrocarbons and the largest zeros of matching polynomials of its molecular structure,using Spss 10.0 statistical software to analyze the relativity of the physical and chemical properties of the hydrocarbons with Hosoya index,and the relativity of the chemical and physical properties with the largest zero,finally,we found that Hosoya index is better than the largest zero of its matching polynomial to characterizes its physical and chemical properties,such as boiling point=-98.674＋64.5488×ln（H（G））.from this formular we can predicate the boiling point of other alkanes（such as dodecane）,which has a great help to predicate the physical and chemical propertise of compond.

关 键 词：HOSOYA指数 匹配多项式 最大根 相关分析 

分 类 号：O157.5[理学—数学] O5[理学—基础数学]