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 - unrestricted
Recommended Citation
Gwellem, Chrys, "Decompositions, Packings, and Coverings of Complete Directed Gaphs with a 3-Circuit and a Pendent Arc." (2007). Electronic Theses and Dissertations. Paper 2029. https://dc.etsu.edu/etd/2029
Copyright
Copyright by the authors.