More ZCPS-Wh(v) and several new infinite classes of Z-cyclic whist tournaments

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

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 600 KB
• Volume: 85
• Category: Article
• ISSN: 0166-218X
• DOI: 10.1016/s0166-218x(98)00034-1

✦ Synopsis

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. In this study we present for the first time examples of ZCPS-Wh(4n), n > 1. Also presented is complete information regarding ZCPS-H%(c) for all r:=O, 1 (mod4), v<48.

A connection between ZCPS-Wh(4n+ 1) and (4n+ 1, 4, I )-resolvable perfect Mendelsohn designs is established. A Z-cyclic wh( 148), a new result, is presented and used to establish several new infinite classes of Z-cyclic whist tournaments.