On Regular \(r\)-Tournaments

The notion of a regular tournament is generalized to \(r\)-tournaments. By means of a construction, it is shown that if \(n \mid \binom{n}{r}\) and \((n,r) = p^k\), where \(p\) is a prime, and \(k \geq 0\), then there exists a regular \(r\)-tournament on \(n\) vertices.