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多部图的匹配算法研究 被引量:1

An Algorithm for the Matching Problems of the Multi-partite Graphs
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摘要 本文给出了一个多部图的商匹配问题的定义,提出了求解多部图商匹配问题的一个算法。该算法使用圈与割集中偶图的交相结合的方法,利用求二部图的最大匹配算法,求解多部图的最大商匹配问题。 This paper defines the quotient matching problems of multi-partite graphs, and puts forward an algorithm that solves the maximum quotient matching problem of the multi-partite graphs. This algorithm uses the bipartite graph joining in circle and cut of multi-partite graphs, and utilizes one of the maximum matching problem algorithm of bipartite graphs to find a maximum quotient matching of multi-partite graphs.
作者 钟声 张百海
出处 《计算机工程与科学》 CSCD 北大核心 2009年第9期36-38,70,共4页 Computer Engineering & Science
基金 海南省自然科学基金资助项目(80636) 海南省教育厅资助项目(Hjkj200705)
关键词 多部图 匹配问题 商匹配 multi-partite graphs matching problems quotient matching
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参考文献9

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二级参考文献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.
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