Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2004
Committee Chair or Co-Chairs
Teresa W. Haynes
Committee Members
Anant P. Godbole, Debra J. Knisley, Frederick Norwood
Abstract
A set S of vertices in a graph G=(V,E) is a total dominating set of G if every vertex of V is adjacent to some vertex in S. In this thesis, we consider total dominating sets of minimum cardinality which have the additional property that distinct vertices of V are totally dominated by distinct subsets of the total dominating set.
Document Type
Thesis - unrestricted
Recommended Citation
Howard, Jamie Marie, "Locating and Total Dominating Sets in Trees." (2004). Electronic Theses and Dissertations. Paper 872. https://dc.etsu.edu/etd/872
Copyright
Copyright by the authors.