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Equivalence domination number of a tree

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Let G = (V,E) be a graph. A dominating set S of V is called an equivalence dominating set if every component of the induced subgraph hSi is complete. In this paper we present a dynamic programming algorithm for determining the equivalence domination number of a tree.

Abstract

Let G = (V,E) be a graph. A dominating set S of V is called an equivalence dominating set if every component of the induced subgraph hSi is complete. In this paper we present a dynamic programming algorithm for determining the equivalence domination number of a tree.

참고문헌 (14)

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  10. Gimbel, J, "Subcolorings and the subchromatic number of a graph", Discrete Math, 272, pp.139~154 (2003)
  11. Haynes, T.W, "Fundamentals of Domination in Graphs" (1998), Marcel Dekker Inc
  12. Haynes, T.W, "Domination in Graphs-Advanced Topics" (1998), Marcel Dekker Inc
  13. Mynhardt, C, "Generalized colorings of graphs, In: Graph Theory with Applications to Algorithms and Computer Science", pp.583~594 (1985), Wiley
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