A characterization of box-Mengerian matroid ports

doi:10.1287/moor.1070.0306

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	A characterization of box-Mengerian matroid ports
	Chen, Xujin1 ; Ding, Guoli 2; Zang, Wenan 3
	2008-05-01
发表期刊	MATHEMATICS OF OPERATIONS RESEARCH
ISSN	0364-765X
卷号	33 期号:2 页码:497-512
摘要	Let M be a matroid on E boolean OR {1}, where 1 is not an element of E is a distinguished element of M. The l-port of M is the set P = {P: P subset of E with P boolean OR {1} a circuit of M}. Let A be the P-E incidence matrix. Let U(2,4) be the uniform matroid on four elements of rank two, let F(7) be the Fano matroid, let F(7) be the dual of F(7), and let F(7)(+) be the unique series extension of F(7). In this paper, we prove that the system Ax >= 1, x >= 0 is box-totally dual integral (box-TDI) if and only if M has no U(2,4)-minor using 1, no F(7)-minor using 1, and no F(7)(+)-minor using 1 as a series element. Our characterization yields a number of interesting results in combinatorial optimization.
关键词	binary clutter binary matroid regular matroid box-total dual integrality
DOI	10.1287/moor.1070.0306
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000256197100015
出版者	INFORMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5849
专题	应用数学研究所
通讯作者	Chen, Xujin
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA 3.Univ Hong Kong, Dept Math, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, Xujin,Ding, Guoli,Zang, Wenan. A characterization of box-Mengerian matroid ports[J]. MATHEMATICS OF OPERATIONS RESEARCH,2008,33(2):497-512.
APA	Chen, Xujin,Ding, Guoli,&Zang, Wenan.(2008).A characterization of box-Mengerian matroid ports.MATHEMATICS OF OPERATIONS RESEARCH,33(2),497-512.
MLA	Chen, Xujin,et al."A characterization of box-Mengerian matroid ports".MATHEMATICS OF OPERATIONS RESEARCH 33.2(2008):497-512.