✦ LIBER ✦
Z-cyclic triplewhist tournaments when the number of players involves primes of the form 8u + 5
✍ Scribed by Norman J. Finizio
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 503 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
When the number of players, v, in a whist tournament, Wh(v), is = 1 (mod 4) the only instances of a 2-cyclic triplewhist tournament, TWh(v), that appear in the literature are for v = 21,29,37. In this study we present 2-cyclic TWh(v) for all v E T = {v = 8u + 5: v is prime, 3 5 u 5 249). Additionally, we establish (1) for all v E T there exists a 2-cyclic TWh(v") for all n 2 1, and (2) if vi E T , i = 1,. . . , n, there exists a 2-cyclic TWh(v;' . . . v:) for all ei 2 1. It is believed that these are the first instances of infinite classes of 2-cyclic TWh(v), Y f 1 (mod 4).