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非连通图3C8m∪C8m-1∪G的优美标号
引用本文:吴跃生,王广富,徐保根.非连通图3C8m∪C8m-1∪G的优美标号[J].天津师范大学学报(自然科学版),2014,34(4):19-21,41.
作者姓名:吴跃生  王广富  徐保根
作者单位:华东交通大学基础科学学院,南昌,330013
基金项目:国家自然科学基金资助项目,江西省自然科学基金资助项目
摘    要:研究非连通图3C8m∪C8m-1∪G的优美性.证明如下结论:对任意正整数m,若图G是特征为k且缺标号值k+24m-2的交错图,则非连通图3C8m∪C8m-1∪G存在缺标号值k+1的优美标号.

关 键 词:平衡二分图  非连通图  优美标号

Graceful labeling of unconnected graph 3C8m∪C8m-1∪G
WU Yuesheng,WANG Guangfu,XU Baogen.Graceful labeling of unconnected graph 3C8m∪C8m-1∪G[J].Journal of Tianjin Normal University(Natural Science Edition),2014,34(4):19-21,41.
Authors:WU Yuesheng  WANG Guangfu  XU Baogen
Institution:WU Yuesheng;WANG Guangfu;XU Baogen;School of Basic Science,East China Jiaotong University;
Abstract:The gracefulness of the unconnected graph 3C8m∪C8m-1∪G is studied. It is proved that, for any positive integer m, if G is an alternating graph whose feature is k and G lacks labeling number k+24m-2, then 3C8m∪C8m-1∪G has graceful labeling that lacks labeling number k+ 1.
Keywords:balanced bipartite graph  unconnected graph  graceful labeling
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