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两类图的符号控制数
引用本文:任媛,赵凌琪,吉日木图,王妍.两类图的符号控制数[J].纯粹数学与应用数学,2014(3):271-279.
作者姓名:任媛  赵凌琪  吉日木图  王妍
作者单位:[1]内蒙古民族大学数学学院,内蒙古通辽市028043 [2]内蒙古民族大学计算机科学与技术学院,内蒙古通辽市028043 [3]山东水利职业学院信息工程系,山东日照276826
基金项目:国家自然科学基金(61261025,61262018); 内蒙古民族大学校级研究项目(NMD1104)
摘    要:图G的符号控制数γs(G)有着许多重要的应用背景,因而确定其精确值有重要意义.Cm表示m个顶点的圈,n-Cm和n·Cm分别表示恰有一条公共边或一个公共顶点的n个Cm的拷贝.给出了n-Cm和n·Cm的符号控制数.

关 键 词:  符号控制函数  符号控制数

Signed domination numbers for two class of graphs
Ren Yuan,Zhao Lingqi,Jirimutu,Wang Yan.Signed domination numbers for two class of graphs[J].Pure and Applied Mathematics,2014(3):271-279.
Authors:Ren Yuan  Zhao Lingqi  Jirimutu  Wang Yan
Institution:1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China; 2. College of Computer and Technology, Inner Mongolia University for Nationalities, Tongliao 028043, China; 3. Department of Information Engineering, Shandong Water Polytechnic, Rizhao 276826, China)
Abstract:The signed domination number of a graph has its import and applying background, so it is useful to determinate the exact value of it. Cm denotes the cycle of length m, n- Cmand n · Cmdenote the graph obtained from any n copies of Cm which have just one common edge and one common vertex, respectively. In this paper, we obtain the signed domination numbers of n- Cmand n·Cm.
Keywords:graph  signed domination function  signed domination number
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