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Pluralité des tournois homogènes de même ordre. (English)
Ann. Sci. Math. Qué. 8, 81-95 (1984).
A homogeneous, or doubly-regular, tournament is a regular tournament $T\sb n$ such that for each node u the subtournament B(u) determined by the nodes dominated by u is also regular. The author used the proposition that in a doubly-regular tournament $T\sb n$ (where $n>7)$ not all subtournaments B(u) can be doubly-regular to argue that there are at least two non-isomorphic doubly-regular tournaments $T\sb n$ for certain values of n and only two when $n=15$. But, unfortunately, the derivation of this proposition from a result of {\it K. B. Reid} and {\it E. Brown} [J. Comb. Theory, Ser. A 12, 332-338 (1972; Zbl 0236.05109)] seems incomplete.
J.W.Moon