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超级太阳图的felicitous性质
引用本文:杨思华,姚兵,王宏宇.超级太阳图的felicitous性质[J].四川大学学报(自然科学版),2014,51(4):653-658.
作者姓名:杨思华  姚兵  王宏宇
作者单位:西北师范大学数学与统计学院;西北师范大学数学与统计学院;西北师范大学数学与统计学院
基金项目:国家自然科学基金(61363060, 61163054, 61163037)
摘    要:许多环行网络可以被转换成图论中的超级太阳图,使得超级太阳图中的环上每一个节点代表一个服务器,与环所连接的节点代表客户.作者对超级太阳图的felicitous性质进行了研究,利用具有集有序felicitous性质的树构造超了级太阳图,并确定了这类图的felicitous标号.此外,对唯一圈图中的特殊图(超级太阳图)的felicitous性质进行了研究,利用具有felicitous性质的树构造超级太阳图,并确定了这类图的felicitous标号.

关 键 词:felicitous标号  集有序felicitous标号  超级太阳图
收稿时间:5/5/2014 12:00:00 AM

Felicitous property of super sun graphs
YANG Si-Hu,YAO Bing and WANG Hong-Yu.Felicitous property of super sun graphs[J].Journal of Sichuan University (Natural Science Edition),2014,51(4):653-658.
Authors:YANG Si-Hu  YAO Bing and WANG Hong-Yu
Institution:College of Mathematics and Statistics, Northwest Normal Universit;College of Mathematics and Statistics, Northwest Normal Universit;College of Mathematics and Statistics, Northwest Normal Universit
Abstract:Many ring like real networks can be modeled as super sun graphs of graph theory in which each node of a ring like real network represents a server, and every node connected the ring represents a client. In this paper the felicitous property of super sun graphs is studied, and based on trees having set ordered felicitous labellings, super sun graphs having felicitous labellings is constructed. Then, the felicitous property of so called super sun graphs that are uniquely cyclic graphs is studied, and based on trees having set ordered felicitous labellings, super sun graphs having felicitous labellings is also constructed.
Keywords:Felicitous labelling  Set ordered felicitous labelling  Super sun graph
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