𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Whist tournaments with the three person property

✍ Scribed by Gennian Ge; C.W.H. Lam

Book ID
104294283
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
236 KB
Volume
138
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.

✦ Synopsis

A whist tournament Wh(v) is said to have the three person property if any two games in the tournament do not have three common players. We denote such a design as 3PWh(v). It is proved in the literature that a 3PWh(v) exists for any v ΒΏ 8 and v ≑ 0; 1 mod 4 with 38 possible exceptions. In this paper, we resolve these open cases and complete the spectrum problem on the existence of 3PWh(v)s.

πŸ“œ SIMILAR VOLUMES

Ordered tournaments and ordered triplewh
Ordered tournaments and ordered triplewhist tournaments with the three person property
✍ R. J. R. Abel; Gennian Ge πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract It is well known that an ordered tournament OWh(__v__) exists if and only if __v__ ≑ 1 (mod 4), __v__ β‰₯ 5. An ordered triplewhist tournament on __v__ players is said to have the three person property if no two games in the tournament have three common players. We briefly denote such a d