Back to search

East Tennessee State University

Decompositions, Packings, and Coverings of Complete Directed Gaphs with a 3-Circuit and a Pendent Arc.

Abstract

dc:description.abstract

<p>In the study of Graph theory, there are eight orientations of the complete graph on three vertices with a pendant edge, <em>K</em><sub>3</sub> &#8746; {<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 the two 3-circuit with a pendant arc orientations.</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
  • Gwellem, Chrys

Subjects

dc:subject × 9

Rights

dc:rights
Statement dc:rights
  • Copyright by the authors.

Identifiers

dc:identifier.*
Repository record dc:identifier
https://dc.etsu.edu/etd/2029
OAI identifier oai:identifier
oai:dc.etsu.edu:etd-3390

Chain of custody

source
Harvested from
East Tennessee State University
Base URL
dc.etsu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Gwellem, Chrys. Decompositions, Packings, and Coverings of Complete Directed Gaphs with a 3-Circuit and a Pendent Arc.. Thesis - unrestricted thesis, 2007. https://dc.etsu.edu/etd/2029