MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Robert B. Gardner
Robert A. Beeler, Teresa W. Haynes
In this paper, we consider decompositions of the complete graph on v vertices into 4-cycles with a pendant edge. In part, we will consider decompositions which admit automorphisms consisting of:
(1) a single cycle of length v,
(2) f fixed points and a cycle of length v − f, or
(3) two disjoint cycles.
The purpose of this thesis is to give necessary and sufficient conditions for the existence of cyclic, f-cyclic, and bicyclic Q-decompositions of Kv.
Thesis - Open Access
Cantrell, Daniel Shelton, "Cyclic, f-Cyclic, and Bicyclic Decompositions of the Complete Graph into the 4-Cycle with a Pendant Edge." (2009). Electronic Theses and Dissertations. Paper 1872. http://dc.etsu.edu/etd/1872
Copyright by the authors.