期刊文献+

基于拉普拉斯矩阵在Star网络中应用研究 被引量:2

Application & Research of Laplace Matrix in Star Network
原文传递
导出
摘要 计算机网络拓扑基本分为五种类型:星型、环型、总线型、树型和网状型,常见规则的网络是星型网络。本文将星型网络转化为拉普拉斯矩阵,采用递推法证明星形图的代数连通度为常数1,同时得到代数连通度、谱隙与聚类系数三者相同的结论。 Computer network topology is basically divided into five types which are Star,Ring,Bus,Tree and Mesh.The common rule of the network is the Star network.In this paper,the Star network is transformed into Laplace matrix.The algebraic connectivity of the star map is proved to be constant one with recursive method.Meanwhile,the same conclusion of algebraic connectivity,spectral gap and clustering coefficient is obtained.
作者 邓凤茹 陈博海 王晓龙 Deng Fengru;Chen Bohai;Wang Xiaolong(Fundamental Science Department,North China Institute of Aerospace Engineering,Langfang City Human Resources and Social Security Bureau,Langfang 065000,China)
出处 《北华航天工业学院学报》 CAS 2019年第1期5-6,26,共3页 Journal of North China Institute of Aerospace Engineering
基金 廊坊市软科学研究计划项目(2017029035) 北华航天工业学院横向课题(JCB-2017-01-H)
关键词 Star网络 LAPLACE矩阵 特征值 代数连通度 Star network Laplace matrix eigenvalue algebraic connectivity
  • 相关文献

参考文献1

二级参考文献7

  • 1Esfahanian A H,Hakimi S L.On computing a conditional edge-connectivity of a graph[J].Information Processing Letters,1988,27:195-199.
  • 2Bondy J A,Murty U S R.Graph Theorey with Applications[M].New York:North Holland,1976.
  • 3Esfahanian A H,Generalized measures of fault tolerance with application to n-cube networks[J].IEEE Trans.Comput,1989,38(11):1 586-1 591.
  • 4Day K,Triphi A.A comparative study of topological properties of hypercubes and star graphs[J].IEEE Trans.Parallel and Distributed Systems,1994,5(1):31-38.
  • 5Akers S B,Horel D,Krisnamurthy B.A group theoretic model for symmetric interconnection networks[J].IEEE Trans.Comput,1989,38(4):555-566.
  • 6Hu S C,Yang C B.Fault tolerance on star graphs[J].IEEE Trans.Comput,1995,17:176-182.
  • 7聂晓冬,刘红美,徐俊明.Star图互连网络的容错性分析[J].数学物理学报(A辑),2004,24(2):168-176. 被引量:1

共引文献2

同被引文献22

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部