Mathematics > Combinatorics
[Submitted on 4 Jun 2023
(v1)
, last revised 24 Sep 2024 (this version, v2)]
Title: Some results and problems on tournament structure
Title: 关于锦标赛结构的一些结果和问题
Abstract: This paper is a survey of results and problems related to the following question: is it true that if G is a tournament with sufficiently large chromatic number, then G has two vertex-disjoint subtournaments A,B, both with large chromatic number, such that all edges between them are directed from A to B? We describe what we know about this question, and report some progress on several other related questions, on tournament colouring and domination.
Submission history
From: Alexander Scott [view email][v1] Sun, 4 Jun 2023 14:04:37 UTC (28 KB)
[v2] Tue, 24 Sep 2024 16:45:50 UTC (32 KB)
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