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New Product Theorems for Z-Cyclic Whist Tournaments

✍ Scribed by Ian Anderson; Norman J. Finizio; Philip A. Leonard


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
86 KB
Volume
88
Category
Article
ISSN
0097-3165

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✦ Synopsis


The aim of this note is to show how existing product constructions for cyclic and 1-rotational block designs can be adapted to provide a highly effective method of obtaining product theorems for whist tournaments.


πŸ“œ SIMILAR VOLUMES


Construction of Z-cyclic triple whist to
✍ Y. S. Liaw πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 735 KB

Let p = Z k t + 1 be a prime where t > 1 is an odd integer, k 2 2. Methods of constructing a Z-cyclic triple whist tournament TWh(p) are given. By such methods we construct a Z-cyclic TWh(p) for d l primes p , p = l(mod 4), 29 5 p 5 16097, except p = 257. Let p , = 2ktt, + 1, q = Zk0oto + 3 be prime

Existence of Z-Cyclic Triplewhist Tourna
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A Z-cyclic triplewhist tournament for 4n+1 players, or briefly a TWh(4n+1), is equivalent to a . The existence problem for Z-cyclic TWh( p)'s with p a prime has been solved for p 1 (mod 16). I. Anderson

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