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 - Open Access

Copyright

Copyright by the authors.

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