线图、全图和细分图的augmented Zagreb指数  

Augmented Zagreb Index of Line,Total and Subdivision Graphs

作　　者：孙晓玲[1,2] 高玉斌[2] 杜建伟[2] 

机构地区：[1]中北大学仪器与电子学院,山西太原030051 [2]中北大学理学院,山西太原030051

出　　处：《中北大学学报（自然科学版）》2015年第1期1-4,11,共5页Journal of North University of China(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071227);山西省回国留学人员科研资助项目(2012-070);中北大学校科学基金

摘　　要：图的augmented Zagreb指数是化学图论中一种新的拓扑指数,在化学中有着许多的应用.研究表明该指数能有效地预测辛烷和庚烷的能量信息.对线图、全图和细分图的augmented Zagreb指数进行了研究.采用分析结构的方法,得到了线图、全图和细分图的augmented Zagreb指数的上界和下界,并且刻画了达到上界和下界时的图类.The augmented Zagreb index of a graph,which is proven to be a valuable predictive index in the study of the heat information of octanes and heptanes,is a novel topological index in chemical graph theory.It has a lot of applications in chemistry.The augmented Zagreb index of line,total and subdivision graphs was investigated.By using the method of analyzing graph structure,the tight upper and lower bounds on augmented Zagreb index of line,total and subdivision graphs were presented,and the graphs which augmented Zagreb index and satisfied these tight bounds were characterized.

关 键 词：线图 全图 细分图 AUGMENTED Zagreb指数 正则图 

分 类 号：O157.5[理学—数学]