摘要
提出了边魔幻偶优美标号的新标号,给出礼花运算(带标号的加叶子运算);并扩散了以完全图K_3、星图等为核心的网络模型,研究了这几类模型的边魔幻偶优美性;把边魔幻奇、偶优美标号进行关联,得到了具有边魔幻优美标号的网络模型.
We present a new definition,called edge-magic even-graceful labeling in this paper,and then we discover a new algorithm,called firework operation,which can add leaves with edge-magic graceful labeling and edge-magic even-graceful labeling.We spread several kinds of network models based on the complete graph K3and star trees and so on,and then investigate their edge-magic even-graceful properties.A connection between the edge-magic odd-graceful labeling and the edge-magic even-graceful labeling is obtained which produces network models with edge-magic graceful labeling
作者
李艺春
孙慧
姚兵
LI Yi-chun;SUN Hui;YAO Bing(School of Mathematics, Shandong University, Jinan 250100, China;College of Mathematics and Statistics, Northwest Normal University,Lanzhou 730070, China;School of Electronics and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China)
出处
《华东师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2018年第1期11-16,23,共7页
Journal of East China Normal University(Natural Science)
基金
国家自然科学基金(61163054
61363060
61662066
11461038)
关键词
边魔幻偶优美标号
复杂网络
无标度图
礼花运算
edge-magic even-graceful labeling
complex networks
scale-free graph
firework-operation