Linear-Time Approximation Algorithms for Unit Disk Graphs
نویسندگان
چکیده
Numerous approximation algorithms for unit disk graphs have been proposed in the literature, exhibiting sharp trade-offs between running times and approximation ratios. We propose a method to obtain linear-time approximation algorithms for unit disk graph problems. Our method yields linear-time (4 + ε)-approximations to the maximum-weight independent set and the minimum dominating set, as well as a linear-time approximation scheme for the minimum vertex cover, improving upon all known linearor near-linear-time algorithms for these problems.
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