On inverse problems of optimum perfect matching

	On inverse problems of optimum perfect matching
	Liu, ZH ; Zhang, JZ
刊名	JOURNAL OF COMBINATORIAL OPTIMIZATION
	2003-09-01
卷号	7 期号:3 页码:215-228
关键词	maximum-weight matching perfect matching maximum-mean alternating cycle ellipsoid method strongly polynomial algorithm linear programming
ISSN号	1382-6905
英文摘要	As far as we know, for most polynomially solvable network optimization problems, their inverse problems under l(1) or l(infinity) norm have been studied, except the inverse maximum-weight matching problem in non-bipartite networks. In this paper we discuss the inverse problem of maximum-weight perfect matching in a non-bipartite network under l(1) and l(infinity) norms. It has been proved that the inverse maximum-weight perfect matching under l(infinity) norm can be formulated as a maximum-mean alternating cycle problem of an undirected network, and can be solved in polynomial time by a binary search algorithm and in strongly polynomial time by an ascending algorithm, and under l(1) norm it can be solved by the ellipsoid method. Therefore, inverse problems of maximum-weight perfect matching under l(1) and l(infinity) norms are solvable in polynomial time.
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	KLUWER ACADEMIC PUBL
WOS记录号	WOS:000186285200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18169]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, ZH
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Liu, ZH,Zhang, JZ. On inverse problems of optimum perfect matching[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2003,7(3):215-228.
APA	Liu, ZH,&Zhang, JZ.(2003).On inverse problems of optimum perfect matching.JOURNAL OF COMBINATORIAL OPTIMIZATION,7(3),215-228.
MLA	Liu, ZH,et al."On inverse problems of optimum perfect matching".JOURNAL OF COMBINATORIAL OPTIMIZATION 7.3(2003):215-228.