Z-cyclic triplewhist tournaments—The noncompatible case,part II

Two odd primes p₁ = 2 u₁ + 1, p₂ = 2 u₂ + 1, u₁, u₂ odd, are said to be noncompatible if b₁ ≠ b₂. Let b_i ≥ 2, i = 1, 2 and denote the set {(p₁, p₂): {p₁, p₂} are noncompatible, p_i < 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