A better constant-factor approximation for weighted dominating set in unit disk graph

作者:Huang Yaochun; Gao Xiaofeng*; Zhang Zhao; Wu Weili
来源:Journal of Combinatorial Optimization, 2009, 18(2): 179-194.
DOI:10.1007/s10878-008-9146-0

摘要

This paper presents a (10+epsilon)-approximation algorithm to compute minimum-weight connected dominating set (MWCDS) in unit disk graph. MWCDS is to select a vertex subset with minimum weight for a given unit disk graph, such that each vertex of the graph is contained in this subset or has a neighbor in this subset. Besides, the subgraph induced by this vertex subset is connected. Our algorithm is composed of two phases: the first phase computes a dominating set, which has approximation ratio 6+epsilon (epsilon is an arbitrary positive number), while the second phase connects the dominating sets computed in the first phase, which has approximation ratio 4.