双星树Gutman指标的最值及排序  

Extreme values and rankings of Gutman index of double star trees

作　　者：冯萌萌[1] 王科伦[1] 

机构地区：[1]大连海事大学数学系,辽宁大连116026

出　　处：《高师理科学刊》2017年第4期5-7,14,共4页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金资助项目(61472058);中央高校基本科研业务费专项资金资助项目(3132016322)

摘　　要：基于图的Gutman指标提出图的顶点Gutman指标.在此基础上,研究了双星树的顶点Gutman指标以及定阶数双星树族的Gutman指标的最值和排序问题,并给出了相应的极值点和极图.Based on the Gutman index of graphs, the vertex Gutman index is proposed. On this basis, the extreme values and rankings of the vertex Gutman index of double star trees and the Gutman index of the family of the double star trees with a fixed order are studied, and the corresponding extreme vetices and extreme graphs are given.

关 键 词：双星树 Gutman指标 最值 排序 极图 

分 类 号：O157.5[理学—数学]