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A k -dominating set is a set D of nodes of a graph such that, for each node v , there exists a node w ∈ D at distance at most k from v . Our aim is the deterministic distributed construction of small T -dominating sets in time T in networks modelled as undirected n -node graphs and under the LOCAL communication model. For any positive integer T , if b is the size of a pairwise disjoint...
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