摘要
研究在网络核与核度意义下网络的优化设计理论,获得了①在核值及网络点数已知的条件下,网络所具有的最大、最小核度结构及相应的构造方法;②在网络的顶点数及边数给定的条件下所具有的最大、最小核度及相应网络的构造方法;③应用上述结果研究了可靠通讯网络的优化设计,改进了Harary工作的不足。
The optimization problems of networks under core and coritivity theory are studied indetail in this paper.We obtain the following three results:①The maximum and minimum coritivity andits networks structure of a svstem is obtained when the number ofcore and the number of mainfactors of asystem are given;②The maximum and minimum coritivity and its networks structure of a system is ob-tained when the number of vertices and edges of system network are given;③Applying the results①and②,the optimization design of the reliable communication networks are studied,and Harary's constructionmethods in the field are improved.
出处
《系统工程学报》
CSCD
1994年第1期1-11,共11页
Journal of Systems Engineering
基金
国家自然科学基金
关键词
系统
核
核度
优化设计
通信网络
Coritivity of a system,The number of core,Maximum and minimum cortivity,Communica-tion network,Optimization design.