线图、全图和细分图的第一几何-算数指数的上下界  

The Tight Upper and Lower Bounds on First Geometric-Arithmetic Indices of Line,Total and Subdivision Graphs

作　　者：霍英杰[1] 高玉斌[1] 

机构地区：[1]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）》2018年第1期38-41,共4页Journal of North University of China(Natural Science Edition)

摘　　要：第一几何-算数指数是化学图论中一种全新的拓扑指数,在化学中有着广泛应用.通过对线图、全图和细分图的第一几何-算数指数的研究,并分析图的结构,得到了线图、全图、细分图的第一几何-算数指数的上下界,并且刻画了达到上下界的极图.The first geometric arithmetic indices is a novel topological index in chemical graph theory. It has a wide range of application in chemistry. The first geometric arithmetic indices of line, total and subdivision graphs was investigated. By using the method of analyzing graph structure, the tight upper and lower bounds on first geometric arithmetic indices of line, total and subdivision graphs were presen ted, and the graphs which first geometric arithmetic indices and satisfied these tight bounds were characterized.

关 键 词：线图 全图 细分图 第一几何-算数指数 正则图 

分 类 号：O157.5[理学—数学]