Tournaments and colouring

A tournament is a complete graph with its edges directed, and colouring a tournament means partitioning its vertex set into transitive subtournaments. For some tournaments H there exists c such that every tournament not containing H as a subtournament has chromatic number at most c (we call such a t...

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Bibliographic Details
Main Authors: Berger, Eli (Author), Choromanski, Krzysztof (Author), Chudnovsky, Maria (Author), Fox, Jacob (Contributor), Loebl, Martin (Author), Scott, Alex (Author), Seymour, Paul (Author), Thomasse, Stephan (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Elsevier, 2015-10-26T12:04:11Z.
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Online Access:Get fulltext
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100 1 0 |a Berger, Eli  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Fox, Jacob  |e contributor 
700 1 0 |a Choromanski, Krzysztof  |e author 
700 1 0 |a Chudnovsky, Maria  |e author 
700 1 0 |a Fox, Jacob  |e author 
700 1 0 |a Loebl, Martin  |e author 
700 1 0 |a Scott, Alex  |e author 
700 1 0 |a Seymour, Paul  |e author 
700 1 0 |a Thomasse, Stephan  |e author 
245 0 0 |a Tournaments and colouring 
260 |b Elsevier,   |c 2015-10-26T12:04:11Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/99446 
520 |a A tournament is a complete graph with its edges directed, and colouring a tournament means partitioning its vertex set into transitive subtournaments. For some tournaments H there exists c such that every tournament not containing H as a subtournament has chromatic number at most c (we call such a tournament H a hero); for instance, all tournaments with at most four vertices are heroes. In this paper we explicitly describe all heroes. 
520 |a Simons Foundation (Fellowship) 
546 |a en_US 
655 7 |a Article 
773 |t Journal of Combinatorial Theory, Series B