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East Tennessee State University
Decomposition, Packings and Coverings of Complete Digraphs with a Transitive-Triple and a Pendant Arc.
Abstract
dc:description.abstract<p>In the study of design theory, there are eight orientations of the complete graph on three vertices with a pendant edge, <em>K</em><sub>3</sub>∪{<em>e</em>}. 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.</p>
Degree
thesis:*- Name thesis:degree_name
- MS (Master of Science)
- Level thesis:degree_level
- Thesis - unrestricted
- Discipline thesis:degree_discipline
- Mathematical Sciences
- Year dc:date.issued
- 2007
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Lewenczuk, Janice Gail
Subjects
dc:subject × 8Rights
dc:rights- Statement dc:rights
-
- Copyright by the authors.
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://dc.etsu.edu/etd/2053
- OAI identifier oai:identifier
- oai:dc.etsu.edu:etd-3414