Date of Award
2005
Degree Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics
Department
Mathematics
First Advisor
Norman J. Finizio
Abstract
Mathematicians began studying the generalized whist tournament in the late 1990's. As with traditional whist tournaments (that is, whist tournaments with 4 players per game), many specializations can be examined. In this study, we have combined the methods of Moore and Greig and introduced a new design, called a Moore - Greig Design. This design is an RBIBD that contains, simultaneously, nested RBIBDs, nested GWhDs, many GWhDas, frames, nested frames, GWh-Frames, nested GWhFrames, GWhaFrames, RRDFs and nested RRDFs. All of these designs are Z-cyclic. Additionally, several infinite classes of these Moore - Greig Designs are new.
Recommended Citation
Collins, Jarred T., "Moore-Greig Designs: A new combinatorial structure" (2005). Open Access Dissertations. Paper 2011.
https://digitalcommons.uri.edu/oa_diss/2011
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Comments
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