On Knock-Out Tournaments
Peter S. Capell, Tamilvani Narayanan · Canadian Mathematical Bulletin · 1970
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).