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On Knock-Out Tournaments

Published online by Cambridge University Press:  20 November 2018

P. Capell  and
T. V. Narayanan
P. Capell
Affiliation:
University of Alberta, Edmonton, Alberta
T. V. Narayanan
Affiliation:
University of Alberta, Edmonton, Alberta
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We define, as in [2], a random knock-out tournament with n players as a vector (m1, m2, …, mk) of positive integers satisfying

1

On the first round of the tournament 2m1 players, chosen at random, are paired off randomly; the remaining n — 2m1 players have a "bye". The m1 losers are knocked out, leaving a tournament n—m1 players with vector (m2, m3, …, mk).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 1 , March 1970 , pp. 105 - 109
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Moon, J. W., Topics on tournaments, Holt, Rinehart and Winston, N.Y. (1968), p. 49.Google Scholar
2. Narayana, T. V., Quelques résultats relatifs aux tournois "knock-out" et leurs applications aux comparaisons aux paires, Comptes Rendus de l' Académie des Sciences, Paris, 267 (1968), 32-33.Google Scholar
3. Tucker, H. G., Introduction to Probability and Mathematical Statistics, Academic Press, N.Y., p. 18.Google Scholar