具有最大能量的直径为6的毛毛虫树  

The Caterpillar Tree with A Maximum Energy of Diameter 6

作　　者：车雨红[1] CHE Yu-hong(School of Mathematics and Physics , Weinan Normal University, weinan 714000, Shaanxi , China)

机构地区：[1]渭南师范学院数理学院,陕西渭南714000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2017年第3期313-316,321,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2014JM1026);陕西省教育厅科研项目(16JK1265);渭南师范学院理工类科研项目(15YKP015)

摘　　要：研究具有最大能量的直径为6的毛毛虫树的能量问题.给出毛毛虫树的定义,并介绍了直径为6的毛毛虫树;通过比较不同变换下毛毛虫树的能量大小,得到各悬挂边数目之间的关系;给出n取不同值时,有最大能量的直径为6的毛毛虫树的一些结论,解决了给定顶点数和边数的连通图中具有最大能量的图的问题.The energy problem of a caterpillar tree with a maximum energy of 6 diameter is studied. It defined a caterpillar tree and introduced the tree with a given diameter 6, and gained the number relations between pendent edges, by comparing the energy under different transforms. It showed the maximum energy for different values of n,and solved the problem of the maximum energy in the connected graph of the number of vertical and the number of edges.

关 键 词：最大能量值 图的能量 毛毛虫树 

分 类 号：O157.4[理学—数学]