A graph G is a (t,r)-regular graph if every collection of t independent vertices is collectively adjacent to exactly r vertices. In this thesis, we will present a complete characterization of (t,r)-regular graphs of order n if n is sufficiently large. Furthermore, we will show that all graphs of this type are isomorphic to Ks + mKp where t(p - 1) + s = r.
| Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etd-1039 |
| Date | 01 May 2000 |
| Creators | Gosnell, Shannon Leah |
| 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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