Abstract
We show that the radio broadcast problem is Ω( logn) -inapproximable unless NP⊆BPTIME( n O(loglog n) ). This is the first result on the hardness of approximation of this problem. Our reduction is based on the reduction from the Label-Cover problem to the Set Cover problem due to Lund and Yannakakis [J. Assoc. Comput. Mach. 41 (5) (1994) 960–981], and uses some new ideas.
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