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求解单圈多部图的匹配算法 被引量:5

Algorithm for Matching Problems of Multi-partite Graphs Which Include One Cycle
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摘要 给出了一个多部图及其匹配问题的定义,提出了求解单圈多部图匹配问题的一个算法。该算法提出多部图顶点间的可达性定义,并使用试探与缩小规模相结合的方法以及求二部图的最大匹配算法,求解单圈多部图的最大匹配问题。经过验证,算法的效率比较高。 The paper defines multi-partite graphs and matching problems for it, and defines the multi-partite graphs which including only one cycle, and discusses a method that to solve maximum matching problem of the multi-partite graphs which including only one cycle, suggest a algorithm that based on reachable of multi-partite graphs, and utilize one of the maximum matching problems algorithm of bipartite graph to find a maximum matching of the multi-partite graph which including only one cycle.
出处 《广西师范大学学报(自然科学版)》 CAS 北大核心 2007年第2期202-205,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 海南省自然科学基金资助项目(80636)
关键词 多部图 匹配问题 算法 multi-partite graphs matching problems algorithm
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参考文献4

  • 1LAWLER E L,LENSTRA J K,RINNOOY A H G,et al.Sequencing and scheduling:algorithms and complexity[M]//GRAVES S C,RINNOOY KAN A H G,ZIPKIN P H.Handbooks in Operations Research and Management Science,Vol 4:Logistics of Production and Inventory.Amsterdam:North Holland,1993:445-522.
  • 2WANG Shi-ying,YUAN Jin-jiang,LIU Yan.On the maximum matching graph of a graph[J].OR Transactions,1998,2(2):13-17.
  • 3EROH L,SCHULTZ M.Matching graphs[J].J Graph Theory,1998,29(2):73-86.
  • 4HOPCROFT J E,KARP R M.An n^5/2 algorithm for maximum matching in bipartite graphs[J].SIAM Journal on Computing,1973,2(4):225-231.

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