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.
| Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etd-3224 |
| Date | 09 May 2009 |
| Creators | Cantrell, Daniel Shelton |
| Publisher | Digital Commons @ East Tennessee State University |
| Source Sets | East Tennessee State University |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Electronic Theses and Dissertations |
| Rights | Copyright by the authors. |
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