Moore-Greig Designs: A new combinatorial structure

Jarred T Collins, University of Rhode Island

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 GWhD_as, frames, nested frames, GWh-Frames, nested GWhFrames, GWh_aFrames, RRDFs and nested RRDFs. All of these designs are Z-cyclic. Additionally, several infinite classes of these Moore - Greig Designs are new. ^

Subject Area

Mathematics

Recommended Citation

Jarred T Collins, "Moore-Greig Designs: A new combinatorial structure" (2005). Dissertations and Master's Theses (Campus Access). Paper AAI3186900.
http://digitalcommons.uri.edu/dissertations/AAI3186900

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