几种可扩散网络模型的边魔幻偶优美性

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.
Abstract：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.