Ranking tournaments with no errors II: Minimax relation

doi:10.1016/j.jctb.2019.10.004

CSpace > 应用数学研究所

	Ranking tournaments with no errors II: Minimax relation
	Chen, Xujin1,2 ; Ding, Guoli 3; Zang, Wenan 4; Zhao, Qiulan 5
	2020-05-01
发表期刊	JOURNAL OF COMBINATORIAL THEORY SERIES B
ISSN	0095-8956
卷号	142 页码:244-275
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.
关键词	Tournament Feedback arc set Integrality Duality Algorithm
DOI	10.1016/j.jctb.2019.10.004
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000525384800009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51146
专题	应用数学研究所
通讯作者	Zhao, Qiulan
作者单位	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
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.