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最小费用k度限制树对策
引用本文:王小燕 谢政. 最小费用k度限制树对策[J]. 数学理论与应用, 2005, 25(2): 53-56
作者姓名:王小燕 谢政
作者单位:国防科技大学理学院,长沙,410073
摘    要:
本在Glover—Klingman算法及最小费用支撑树对策的基础上,讨论了最小费用k度限制树对策问题.利用威胁、旁支付理论制订了两种规则,并利用优超、策略等价理论分别给出了在这两种规则下最小费用k度限制树对策核心中的解,从而证明了在这两种规则下其核心非空.

关 键 词:最小费用 限制 支撑树 等价

Minimum cost k-degree constrained spanning tree game
Wang Xiaoyan Xie Zheng. Minimum cost k-degree constrained spanning tree game[J]. Mathematical Theory and Applications, 2005, 25(2): 53-56
Authors:Wang Xiaoyan Xie Zheng
Abstract:
This paper develops Glover-Klingman algorithm and Minimu m cost spanning tree game to the Minimum cost k-degree constrained spanning tree game,formulate two strategies with the Threat theory and Side Payment theory,gi ves the solution in the Minimum cost spanning tree game core with dominate theor y and strategic equivalent theory,and proves that the core is non-empty under th e two rules.
Keywords:Minimum cost spanning tree game Glover-Klingman algorithm Minimum cost k-degree costrained spanning tree game Dominate Strategic equivalent Core
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