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East Tennessee State University

Packings and Coverings of Various Complete Digraphs with the Orientations of a 4-Cycle.

Abstract

dc:description.abstract

<p>There are four orientations of cycles on four vertices. Necessary and sufficient conditions are given for covering complete directed digraphs <em>D<sub>v</sub></em>, packing and covering complete bipartite digraphs, <em>D<sub>m,n</sub></em>, and packing and covering the complete digraph on <em>v</em> vertices with hole of size <em>w</em>, <em>D</em>(<em>v</em>,<em>w</em>), with three of the orientations of a 4-cycle, including <em>C</em><sub>4</sub>, <em>X</em>, and <em>Y</em>.</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
  • Cooper, Melody Elaine

Subjects

dc:subject × 7

Rights

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

Identifiers

dc:identifier.*
Repository record dc:identifier
https://dc.etsu.edu/etd/2031
OAI identifier oai:identifier
oai:dc.etsu.edu:etd-3392

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

Cooper, Melody Elaine. Packings and Coverings of Various Complete Digraphs with the Orientations of a 4-Cycle.. Thesis - unrestricted thesis, 2007. https://dc.etsu.edu/etd/2031