单圈图的极小ABC指数  

The Minimal Atom-bond Connectivity Index of Unicyclic Graphs

作　　者：任敏 高玉斌[1] REN Min GAO Yu-bin(School of Science,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《云南师范大学学报（自然科学版）》2017年第5期20-26,共7页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(11071227);山西省留学回国人员科研基金资助项目(12-070)

摘　　要：给出了取得极小ABC指数单圈图的结构性质,通过图形变换、分式比较,给出了n阶3-圈图与取得极小ABC指数的n阶单圈图的关系.In this paper,we give the structural properties of the extremal graphs which attain the minimal ABC index of unicyclic graphs.By graph transformations and fractional comparison,we give the relation between the tricyclic graphs of order nand the extremal graphs which attain the minimal ABC index of unicyclic graphs of order n.

关 键 词：ABC指数 单圈图 悬挂路 

分 类 号：O157.5[理学—数学]