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任意有向图的最小K边连通扩充 被引量:2

THE MINIMUM AUGMENTATION OF AN ARBITRARY DIRECTED GRAPH TO A K-EDGE-CONNECTED DIRECTED GRAPH
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摘要 本文研究了以最小边集扩充一个任意有向图为K边连通有向图这一优化问题。提出了一个复杂度o(|V|5)的有效算法。该算法为可靠网络的计算机辅助设计打下了基础。 The optimization problem of constructing a K-edge-connected directed graph from any given directed graph by adding a minimum set of edges is studied. An efficient algorithm with complexity of O(|V|5) is presented. This algorithm contributes a foundation for the computer aided design of reliable networks.
出处 《电子科学学刊》 CSCD 1990年第6期593-599,共7页
基金 国家自然科学基金
关键词 图论 有向图 K边连通 Graph theory Directed graph K-edge-connected directed graph
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参考文献1

  • 1吴望名,图论及其应用,1984年

同被引文献6

  • 1Cai Guorui,1986年
  • 2Eswaran K P, Tarjan R E. Augmentation problems [ J ]. SIAM J Comput, 1976, 5(4) : 653-665.
  • 3Bondy J A, Murty U S R. Graph Theory with Applications[ M ]. [ S. l. ] : Macmillan Press, 1976.
  • 4Andras Frank. Augmentation graphs to meet edge-connectivity requirements [ J ]. SIAM J Disc Math, 1992, 5 ( 1 ) :25-53.
  • 5Mader W. Konstruktion aller n-fach kantenzusammenhan-genden digraphen: European [ J ]. J Combin, 1982 ( 3 ) :63-67.
  • 6CAO Qiguo, WU Xue and SUN Yugeng(School of Electrical Automation and Energy Engineering, Tianjin University, Tianjin 300072, China).K-vertex-connectivity minimum augmentation for undirected unweighted graphs[J].Progress in Natural Science:Materials International,2003,13(6):434-445. 被引量:3

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