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求解单圈多部图的匹配算法
引用本文:钟声,云敏,焦安全.求解单圈多部图的匹配算法[J].广西师范大学学报(自然科学版),2007,25(2):202-205.
作者姓名:钟声  云敏  焦安全
作者单位:海南大学,信息科学技术学院,海南,海口,570228
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。

关 键 词:多部图  匹配问题  算法
文章编号:1001-6600(2007)02-0202-04
收稿时间:2006-12-15
修稿时间:2006-12-15

Algorithm for Matching Problems of Multi-partite Graphs Which Include One Cycle
ZHONG Sheng,YUN Min,JIAO An-quan.Algorithm for Matching Problems of Multi-partite Graphs Which Include One Cycle[J].Journal of Guangxi Normal University(Natural Science Edition),2007,25(2):202-205.
Authors:ZHONG Sheng  YUN Min  JIAO An-quan
Institution:College of Information Science and Technology,Hainan University,Haikou 570228,China
Abstract: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.
Keywords:multi-partite graphs  matching problems  algorithm
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