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Minimum 2-tuple dominating set of an interval graph - MaRDI portal

Minimum 2-tuple dominating set of an interval graph (Q666518)

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scientific article; zbMATH DE number 6013075
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Minimum 2-tuple dominating set of an interval graph
scientific article; zbMATH DE number 6013075

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    Minimum 2-tuple dominating set of an interval graph (English)
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    8 March 2012
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    Summary: The \(k\)-tuple domination problem, for a fixed positive integer \(k\), is to find a minimum size vertex subset such that every vertex in the graph is dominated by at least \(k\) vertices in this set. The case when \(k = 2\) is called 2-tuple domination problem or double domination problem. In this paper, the 2-tuple domination problem is studied on interval graphs from an algorithmic point of view, which takes \(O(n^2)\) time, \(n\) is the total number of vertices of the interval graph.
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    intersection graph
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    dominating set
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