Abstract: | Two odd primes p1 = 2 u1 + 1, p2 = 2 u2 + 1, u1, u2 odd, are said to be noncompatible if b1 ≠ b2. Let bi ≥ 2, i = 1, 2 and denote the set {(p1, p2): {p1, p2} are noncompatible, pi < 200} by NC. In Part 1 of this study we established the existence of Z-cyclic triplewhist tournaments on 3p1p2 + 1 players for all (p1, p2) ϵ NC. Here we extend these results and establish Z-cyclic triplewhist tournaments on 3p1p2 + 1 players for all (p1, p2) ϵ NC and for all α1 ≥ 1, α2 ≥ 1. It is believed that these are the first infinite classes of such triplewhist tournaments. © 1997 John Wiley & Sons, Inc. J Combin Designs 5: 189–201, 1997 |