摘要
基于Cn×P3,Cn×P11图的边-平衡指数集,利用多种组合设计技巧,找出对一切自然数m和n的有效分类,研究了无限路等圈嵌套图Cn×Pm的边-平衡指数集问题,确定了n≥3,m≡0(mod3)时,Cn×Pm的边-平衡指数集的计算公式及相应的图形设计方法.
Based on the study of the edge-balance index sets of Cn×P3,Cn×P11,this paper introduced several novel techniques of combinatorial design which generalized the effective classification of all natural numbers m and n.These ideas help to examine the problem of the edge-balance index sets of the nested graph Cn×Pm with unlimited paths and equal circles,obtaining the computational formula of the edge-balance index sets Cn×Pm（n≥3,m≡0（mod3））,and presenting the way to design the graphs.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2013年第7期1160-1163,1168,共5页
Journal of Shanghai Jiaotong University
基金
河南省教育厅科学技术研究重点项目资助(12B110009)
河南省应用数学重点学科资助
河南省运筹学与控制论重点学科资助
