摘要
Hosoya指标是化学图论研究中较为流行和重要的拓扑指标之一.首先,根据线性的、无分支的、饱和的多螺环化合物的简单分子结构图定义了"多边形螺环链";其次,研究了多边形螺环链关于Hosoya指标的极值问题;同时,得到了多边形螺环链关于Hosoya指标的排序.
The Hosoya index is one of the popular and valuable topological indices in chemistry molecular graphs theory. In this paper, we first definite the "Polygonal spirocyclic chains " that can be considered as the simplified skeleton molecular graph which represents linear polyspiro alicyclic hydrocarbons. Next, we determine the polygonal spirocyclic chains having the extremal values of Hosoya index, and we obtain also the ordering of Hosoya index on the polygonal spirocyclic chains.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第23期149-156,共8页
Mathematics in Practice and Theory
基金
新疆高校科研计划科学研究重点项目(XJEDU2012I37)
昌吉学院研究群体基金(2011YJQT001)
关键词
多边形螺环链
HOSOYA指标
极值问题
排序
polygonal spirocyclic chains
the hosoya index
extremal promblem
ordering