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A short proof of a theorem of Reid and Parker on tournaments - MaRDI portal

A short proof of a theorem of Reid and Parker on tournaments (Q1343229)

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scientific article; zbMATH DE number 716418
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English
A short proof of a theorem of Reid and Parker on tournaments
scientific article; zbMATH DE number 716418

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    A short proof of a theorem of Reid and Parker on tournaments (English)
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    1 February 1995
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    \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.
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    tournament
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    transitive subtournament
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