Z-Cyclic DTWh(p)OTWh(p), The Empirical Study Concluded

摘要

In 1997 I. Anderson and N. J. Finizio gave the first examples of Z-cyclic whist tournament designs that exhibited, simultaneously, a direct-edwhist and a triplewhist structure. In the intervening years since then a number of papers have appeared that address the existence of Z-cyclic whist tournament designs that possess, simultaneously, more than one specialized structure. In this study we provide a summary of this literature and provide data that serves as concluding materials for our own investigations into such Z-cyclic whist tournament designs. In particular we report on the existence of Z-cyclic directed-triplewhist designs on p players, DTWh(p), and Z-cyclic ordered-triplewhist designs on p players, OTWh(p), for all primes p of the form p = 2~kt + 1, t odd, k > 9 and p < 4, 000,000.