Degree Name
Master of Science
Department or Program
Mathematics
Advisor
McSorley, John
Abstract
A double-change circular covering design (dcccd) is an ordered set of blocks with block size k is an ordered collection of b block, B={B1,...,Bb}, each an unordered subset of k distinct elements from [v], which obey: (1) each block differs from the previous block by two elements, as does the last from the first, and, (2) every unordered pair of [v] appears in at least one block. The first object is to minimize b for a fixed v when k=3 and arrange them in a circular manner. And the second object is to determine whether the covering designs are economical or tight.
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