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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Calculating the Frequency of Tournament Score Sequences

Frank Plastria1
1Mosi, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium
  • Published: 31/05/2015

Abstract

We indicate how to calculate the number of round-robin tournaments realizing a given score sequence. This is obtained by inductively calculating the number of tournaments realizing a score function. Tables up to 18 participants are obtained.

Keywords: tournament; score sequence. Thanks to Dennis Van Den Broeck for bringing this question to my attention.
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Citation
Frank Plastria. Calculating the Frequency of Tournament Score Sequences[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 093. 273-290. DOI: .