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

✍ Scribed by Norman J. Finizio

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
191 KB
Volume
5
Category
Article
ISSN
1063-8539

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✦ Synopsis

Two odd primes p1 = 2 b 1 u1 + 1, p2 = 2 b 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 3p1 p2 + 1 players for all (p1 , p2 ) ∈ NC. Here we extend these results and establish Z-cyclic triplewhist tournaments on 3p α 1 1 p α 2 2 + 1 players for all (p1 , p2 ) ∈ NC and for all α1 ≥ 1, α2 ≥ 1. It is believed that these are the first infinite classes of such triplewhist tournaments.

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