Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2007

Committee Chair or Co-Chairs

Robert B. Gardner

Committee Members

Robert M. Price Jr., Debra J. Knisley

Abstract

In the study of Graph 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 the two 3-circuit with a pendant arc orientations.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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