Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2007

Committee Chair or Co-Chairs

Robert B. Gardner

Committee Members

Debra J. Knisley, Robert M. Price Jr.

Abstract

In the study of design theory, there are eight orientations of the complete graph on three vertices with a pendant edge, K3∪{e}. Two of these are the 3-circuit with a pendant arc and the other six are transitive triples with a pendant arc. Necessary and sufficient conditions are given for decompositions, packings and coverings of the complete digraph with each of the six transitive triples with a pendant arc.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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