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Locating and Total Dominating Sets in TreesHaynes, Teresa W., Henning, Michael A., Howard, Jamie 01 May 2006 (has links)
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 a vertex in S. 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.
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Locating and Total Dominating Sets in Trees.Howard, Jamie Marie 01 May 2004 (has links) (PDF)
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.
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