%0 Journal Article %T 几种可扩散网络模型的边魔幻偶优美性 %A 李艺春 %A 孙慧 %A 姚兵 %J 华东师范大学学报(自然科学版) %D 2018 %R 10.3969/j.issn.1000-5641.2018.01.002 %X 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.</br>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. %K 边魔幻偶优美标号 %K 复杂网络 %K 无标度图 %K 礼花运算< %K /br> %K Key words: edge-magic even-graceful labeling complex networks scale-free graph firework-operation %U http://xblk.ecnu.edu.cn/CN/abstract/abstract25468.shtml