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 - unrestricted
Recommended Citation
Lewenczuk, Janice Gail, "Decomposition, Packings and Coverings of Complete Digraphs with a Transitive-Triple and a Pendant Arc." (2007). Electronic Theses and Dissertations. Paper 2053. https://dc.etsu.edu/etd/2053
Copyright
Copyright by the authors.