Z-cyclic whist tournaments with a patterned starter initial round

Z-cyclic whist tournaments with a patterned starter initial round

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Article ID: iaor19951042
Country: Netherlands
Volume: 52
Issue: 3
Start Page Number: 287
End Page Number: 293
Publication Date: Aug 1994
Journal: Discrete Applied Mathematics
Authors:
Abstract:

If v•1 (mod4) we define a Z-cyclic patterned starter whist tournament on v players, ZCPS-Wh(v), to be a cyclic whist tournament for which the set of initial round partner pairs form a patterned starter for Zv. Via orbits, all ZCPS-Wh(v) are presented for v∈∈5,13,17,25,29,37,41∈. Watson, Bose and Cameron, and Baker each introduced constructions which, under certain conditions, yield ZCPS-Wh(v). Comparisons between these three constructions are made and it is demonstrated that beginning with v=25 there exist ZCPS-Wh(v) other than those obtained by these three constructions.

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