By Huang Y., Gao X., Zhang Z.
This paper offers a (10 + ε)-approximation set of rules to compute minimum-weight attached dominating set (MWCDS) in unit disk graph. MWCDS is to pick a vertex subset with minimal weight for a given unit disk graph, such that every vertex of the graph is contained during this subset or has a neighbor during this subset. along with, the subgraph brought about by way of this vertex subset is attached. Our set of rules consists of 2 levels: the 1st part computes a dominating set, which has approximation ratio 6 + ε (ε is an arbitrary optimistic number), whereas the second one section connects the dominating units computed within the first section, which has approximation ratio four.
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A better constant-factor approximation for weighted dominating set in unit disk graph by Huang Y., Gao X., Zhang Z.