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A new construction for Z-cyclic whist tournaments

โœ Scribed by Gennian Ge; Alan C.H. Ling


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
135 KB
Volume
131
Category
Article
ISSN
0166-218X

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๐Ÿ“œ SIMILAR VOLUMES


Construction of Z-cyclic triple whist to
โœ Y. S. Liaw ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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

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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.

Z-cyclic generalized whist frames and Z-
โœ Norman J Finizio; Brian J Travers ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Much of the work in this article was inspired by the elegant and powerful method introduced by Ge and Zhu in their recent paper on triplewhist frames. We extend their ideas to generalized whist tournament designs. Thus, in one sense, we provide a complete generalization of their methodology. We also

A representation theorem and Z-cyclic wh
โœ Norman J. Finizio ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 538 KB

Let E denote the group of units (i.e., the reduce set of residues) in the ring Z3p,,n. Here we consider q,p to be primes, q = 3 (mod 4), q 2 7, p = 1 (mod 4). Let W denote a common primitive root of 3, q, and p 2 . If H denotes the (normal) subgroup of E that is generated by {-1, W } , we show that

More ZCPS-Wh(v) and several new infinite
โœ Norman J. Finizio; Philip A. Leonard ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 600 KB

A Z-cyclic whist tournmant on u players having the property that the collection of initial round partner pairs form the patterned starter in Z N is known as a Z-cyclic patterned starter whist tournament on c' players, ZCPS-F%(a). It is the case that a ZCPS-W/z(4) has been known for over 100 years. I