Computation of the Number of Score Sequences in Round-Robin Tournaments
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 133-136

Voir la notice de l'article provenant de la source Cambridge University Press

We consider round-robin tournaments of n players in which, at each encounter, the winner is awarded 1 point and the loser 0 (ties are excluded).Let 1 be the n scores, ordered in a non-decreasing sequence. Clearly 2
Narayana, T.V.; Bent, D.H. Computation of the Number of Score Sequences in Round-Robin Tournaments. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 133-136. doi: 10.4153/CMB-1964-015-1
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[1] 1. David, H. A., Tournaments and Paired Comparisons. Biometrika, Vol. 46, Parts I and II, 139–149. Google Scholar

[2] 2. Landau, H. G., On dominance relations, and the structure of animal societies, III. The condition for a score structure. Bull. Math. Biophysics, 15(1963), 143–148. Google Scholar

[3] 3. Moon, J. W., On the score sequence of an N-Partite Tournament. Canad. Math. Bull., Vol. 5, No. 1, Jan. 1962, 51–58. Google Scholar

[4] 4. Moon, J. W. and Moser, L., Almost all Tournaments are Irreducible. Canad. Math. Bull., Vol. 5, No. 1, Jan. 1962, 61–65. Google Scholar

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