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Date: 18-3-2022
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A connected dominating set in a connected graph is a dominating set in whose vertices induce a connected subgraph, i.e., one in which there is no dominating vertex not connected to some other dominating vertex by an edge. Connected dominating sets therefore comprise a subset of all dominating sets in a graph.
A minimum connected dominating set of a graph is a connected dominating set of smallest possible size, where the minimum size is denoted and known as the connected domination number.
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