关于圈龙图的奇优雅性

On odd-elegant quality of cyclic-dragon graphs

图的标号主要有(奇)优美标号、和谐标号、幸福标号、魔幻类标号等.圈龙图和多毛圈龙图可以作为计算机网络的模型.证明了圈龙图和多毛圈龙图都具有奇优雅标号,证明方法能够算法化,为网络模型的密码和可区别性研究提供了理论依据和可行的工具.

Graph labellings mainly include （ odd-） graceful labellings , harmonious labellings ,felicitous labellings, magic types of labellings. As known, （haired） cyclic-dragon graphs can be used to computer network models. The odd-elegant quality of （haired） cyclic-dragon graphs is proved ,and the proof methods can be easily translated into algorithm. The work provides theoretical basis and feasible tools for cryptology and distinguishing research in networks.