Kragujevac树若干图操作的拓扑指数计算  

Topological Indices Computation of Graph Operations of Kragujevac Tree

作　　者：彭波[1] 高炜[1] PENG Bo, GAO Wei(School of Information Science, Yunnan Normal University, Kunming, Yunnan 650500, China)

机构地区：[1]云南师范大学信息学院,云南昆明650500

出　　处：《河北北方学院学报（自然科学版）》2018年第7期21-24,共4页Journal of Hebei North University:Natural Science Edition

基　　金：国家自然科学青年基金资助项目:"图的调和染色及相关边划分问题研究"(11401519)

摘　　要：目的在理论化学中,化合物的特性与其分子结构密切相关。因此可以利用拓扑指数计算得到某些重要化合物的化学、药学、生物学性质。方法从图论的角度分析分子图的图特征,提取数学变量的值,并利用数学推导以及拓扑指数本身的定义得到结果。结果得到关于Kragujevac树一些图操作的拓扑指数,给出Narumi Katayama指数、普通萨格勒布乘法指数、优化的Narumi Katayama指数以及零阶广义Randic指数的表达式。结论所得结论对化学、制药、材料等工程应用具有指导意义。Objective In theoretical chemistry,there is close relationship between properties of compounds and their molecular structures.So topological index calculation is used to get certain important chemical,pharmaceutical,biological properties of compounds.Methods Characteristics of molecular graphs are analyzed from the perspective of graph theory,mathematical values of variables me extracted,and mathematical derivation and the definition of topological index itself are used to get results.ResultsThe topological indices of graph operations of Kragujevac tree are determined.The detailed expression of Narumi Katayama index,Multiplicative variant of ordinary Zagreb index,modified Narumi Katayama index and zeroth-order general Randic index are presented.Conclusion The conclusions have guiding significance on chemistry,pharmacy and materials engineering applications.

关 键 词：理论化学 分子图 拓扑指数 Kragujevac树 图操作 

分 类 号：O157.6[理学—数学]