KMS Of Academy of mathematics and systems sciences, CAS
| A characterization of box-Mengerian matroid ports | |
Chen, Xujin1 ; Ding, Guoli2; Zang, Wenan3
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| 2008-05-01 | |
| Source Publication | MATHEMATICS OF OPERATIONS RESEARCH
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| ISSN | 0364-765X |
| Volume | 33Issue:2Pages:497-512 |
| Abstract | 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. |
| Keyword | binary clutter binary matroid regular matroid box-total dual integrality |
| DOI | 10.1287/moor.1070.0306 |
| Language | 英语 |
| WOS Research Area | Operations Research & Management Science ; Mathematics |
| WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
| WOS ID | WOS:000256197100015 |
| Publisher | INFORMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/5849 |
| Collection | 应用数学研究所 |
| Corresponding Author | Chen, Xujin |
| Affiliation | 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 |
| Recommended Citation 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. |
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