(n,m)-p-蜘蛛树的强优美性  

Strong Gracefulness of The(n,m)-p-spider Trees

作　　者：张明军 姚兵[2] 

机构地区：[1]兰州财经大学信息工程学院数学系,甘肃兰州730020 [2]西北师范大学数学与统计学院,甘肃兰州730073

出　　处：《数学的实践与认识》2016年第12期188-192,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61163054;61163037;61363060);兰州财经大学教学研究项目(20140201)

摘　　要：给出了优美树、强优美树、边对称树以及对偶标号的概念,定义了一类蜘蛛树.证明了此类蜘蛛树是强优美树,蜘蛛树的强优美标号是对偶标号,并证明了蜘蛛树的边对称树仍然是强优美树.Define graceful trees, strongly graceful trees, edge-symmetric trees and dual la- beUings, as well as define a class of particular spiders. We prove the strong Gracefulness of the spiders, and the spiders has the dual labellings, and the trees obtained from the spiders are strongly graceful.

关 键 词：优美树 强优美标号 对偶标号 边对称树 

分 类 号：O157.5[理学—数学]