几种可扩散网络模型的边魔幻偶优美性

摘要

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 K3 and 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.%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K3、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.