Title
Ranking tournaments with no errors II: Minimax relation
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 Möbius ladders as a subgraph; such a tournament is referred to as Möbius-free. In the first paper we have given a structural description of all Möbius-free tournaments, and have proved that every CM tournament is Möbius-free. In this second paper we establish the converse by using our structural theorems and linear programming approach.
Year
DOI
Venue
2020
10.1016/j.jctb.2019.10.004
Journal of Combinatorial Theory, Series B
Keywords
DocType
Volume
Tournament,Feedback arc set,Integrality,Duality,Algorithm
Journal
142
ISSN
Citations 
PageRank 
0095-8956
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Xujin Chen123130.54
Guoli Ding244451.58
Wenan Zang330539.19
Qiulan Zhao422.08