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MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Debra J. Knisley
Teresa W. Haynes, Jeff R. Knisley
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.
Thesis - restricted
Gosnell, Shannon Leah, "A Characterization of Large (t,r)-Regular Graphs." (2000). Electronic Theses and Dissertations. Paper 7. https://dc.etsu.edu/etd/7
Copyright by the authors.