The authors obtain an O(log m)-approximation for the coverage problem (tight, as it generalizes set cover) and the first non-trivial O(log² m)-approximation for the connectivity problem via LP relaxation and randomized rounding.
Cost minimization in wireless networks with a bounded and unbounded number of interfaces.Networks, 53(3):266–275
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Polylogarithmic Approximation for Covering and Connecting Multi-Interface Networks
The authors obtain an O(log m)-approximation for the coverage problem (tight, as it generalizes set cover) and the first non-trivial O(log² m)-approximation for the connectivity problem via LP relaxation and randomized rounding.