Complete balanced Howell rotations for 8k+5 teams

✍ Scribed by F.K. Hwang

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 577 KB
• Volume: 39
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(82)90137-6

✦ Synopsis

Complete balanced Howell rotations are mathematical designs for highly structured pairedcomparison experiments. They have been widely used in bridge tournaments, and many special cases are applicable to round-robin tournaments for all kinds of sports. In this paper we construct complete balanced Howell rotations of 8k f 5 teams, for 8k + 5 a prime power greater than 5. We also show that "table balanced" complete balanced Howell rotations for 8k + 5 teams do not exist unless 8k + 5 is the sum of two squares of integers.