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

A Z-cyclic whist tournmant on v players having the property that the collection of initial round partner pairs form the patterned starter in zn is known as a Z-cyclic patterned starter whist tournament on v players, ZCPS-Wh(v). It is the case that a ZCPS-Wh(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-Wh(v) for all v = 0, 1(mod4), v ⩽ 48. A connection between ZCPS-Wh(4n+1) and (4n+1, 4, 1)-resolvable perfect Mendelsohn designs is established. A Z-cyclic Wh(l48), a new result, is presented and used to establish several new infinite classes of Z-cyclic whist tournaments.