A min-max theorem on feedback vertex sets
文献类型：期刊论文
| 作者 | Cai, MC; Deng, XT; Zang, WN |
| 刊名 | MATHEMATICS OF OPERATIONS RESEARCH
 |
| 出版日期 | 2002-05-01 |
| 卷号 | 27期号:2页码:361-371 |
| 关键词 | feedback vertex set bipartite tournament totally dual integrality min-max relation approximation algorithm |
| ISSN号 | 0364-765X |
| 英文摘要 | We establish a necessary and sufficient condition for the linear system {x : Hx greater than or equal to e, x greater than or equal to 0} associated with a bipartite tournament to be totally dual integral, where H is the cycle-vertex incidence matrix and e is the all-one vector. The consequence is a min-max relation on packing and covering cycles, together with strongly polynomial time algorithms for the feedback vertex set problem and the cycle packing problem on the corresponding bipartite tournaments. In addition, we show that the feedback vertex set problem on general bipartite tournaments is NP-complete and approximable within 3.5 based on the min-max theorem. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000176534700008 |
| 出版者 | INST OPERATIONS RESEARCH MANAGEMENT SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17823]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cai, MC |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China 3.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai, MC,Deng, XT,Zang, WN. A min-max theorem on feedback vertex sets[J]. MATHEMATICS OF OPERATIONS RESEARCH,2002,27(2):361-371. |
| APA | Cai, MC,Deng, XT,&Zang, WN.(2002).A min-max theorem on feedback vertex sets.MATHEMATICS OF OPERATIONS RESEARCH,27(2),361-371. |
| MLA | Cai, MC,et al."A min-max theorem on feedback vertex sets".MATHEMATICS OF OPERATIONS RESEARCH 27.2(2002):361-371. |
入库方式： OAI收割
来源：数学与系统科学研究院
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