Ranking tournaments with no errors II: Minimax relation
文献类型：期刊论文
| 作者 | Chen, Xujin3,4 ; Ding, Guoli2; Zang, Wenan1; Zhao, Qiulan5
|
| 刊名 | JOURNAL OF COMBINATORIAL THEORY SERIES B
 |
| 出版日期 | 2020-05-01 |
| 卷号 | 142页码:244-275 |
| 关键词 | Tournament Feedback arc set Integrality Duality Algorithm |
| ISSN号 | 0095-8956 |
| DOI | 10.1016/j.jctb.2019.10.004 |
| 英文摘要 | A tournament T = (V, A) is called cycle Mengerian (CM) if it satisfies the minimax relation on packing and covering cycles, for every nonnegative integral weight function defined on A. The purpose of this series of two papers is to show that a tournament is CM iff it contains none of four Mobius ladders as a subgraph; such a tournament is referred to as Mobius-free. In the first paper we have given a structural description of all Mobius-free tournaments, and have proved that every CM tournament is Mobius-free. In this second paper we establish the converse by using our structural theorems and linear programming approach. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11531014] ; NSF of China[11801266] ; Basic Frontier Scientific Research Program of Chinese Academy of Sciences[ZDBS-LY-7008] ; NSF[DMS-1500699] ; Research Grants Council of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000525384800009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51145]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhao, Qiulan |
| 作者单位 | 1.Univ Hong Kong, Dept Math, Hong Kong, Peoples R China 2.Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Xujin,Ding, Guoli,Zang, Wenan,et al. Ranking tournaments with no errors II: Minimax relation[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B,2020,142:244-275. |
| APA | Chen, Xujin,Ding, Guoli,Zang, Wenan,&Zhao, Qiulan.(2020).Ranking tournaments with no errors II: Minimax relation.JOURNAL OF COMBINATORIAL THEORY SERIES B,142,244-275. |
| MLA | Chen, Xujin,et al."Ranking tournaments with no errors II: Minimax relation".JOURNAL OF COMBINATORIAL THEORY SERIES B 142(2020):244-275. |
入库方式： OAI收割
来源：数学与系统科学研究院
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