KMS Of Academy of mathematics and systems sciences, CAS
| Ranking tournaments with no errors II: Minimax relation | |
Chen, Xujin1,2 ; Ding, Guoli3; Zang, Wenan4; Zhao, Qiulan5
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| 2020-05-01 | |
| Source Publication | JOURNAL OF COMBINATORIAL THEORY SERIES B
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| ISSN | 0095-8956 |
| Volume | 142Pages:244-275 |
| Abstract | 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. |
| Keyword | Tournament Feedback arc set Integrality Duality Algorithm |
| DOI | 10.1016/j.jctb.2019.10.004 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000525384800009 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51146 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhao, Qiulan |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA 4.Univ Hong Kong, Dept Math, Hong Kong, Peoples R China 5.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
| Recommended Citation 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. |
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