A short proof of a theorem of Reid and Parker on tournaments (Q1343229)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A short proof of a theorem of Reid and Parker on tournaments |
scientific article; zbMATH DE number 716418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A short proof of a theorem of Reid and Parker on tournaments |
scientific article; zbMATH DE number 716418 |
Statements
A short proof of a theorem of Reid and Parker on tournaments (English)
0 references
1 February 1995
0 references
\textit{K. B. Reid} and \textit{E. T. Parker} [Disproof of a conjecture of Erdős and Moser on tournaments, J. Comb. Theory 9, 225-238 (1970; Zbl 0204.246)] proved that if \(k \geq 5\) and \(n \geq 7 \cdot 2^{k - 4}\), then every tournament of order \(n\) contains a transitive subtournament of order \(k\). The author presents a shorter proof of this result.
0 references
tournament
0 references
transitive subtournament
0 references
0.8791284
0 references
0.8778013
0 references
0.87494427
0 references
0.8631245
0 references
0.8611858
0 references
0.8608767
0 references
0.86034733
0 references
0.86001486
0 references