Logarithmic inapproximability of the radio broadcast problem

Michael Elkin, Guy Kortsarz

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the radio broadcast problem is Ω(log n)-inapproximable unless NP ⊆ BPTIME(n O(log log 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 [LY94], and uses some new ideas.
Original languageEnglish
Pages (from-to)8-25
Number of pages18
JournalJ. Algorithms
Volume52
Issue number1
DOIs
StatePublished - 2004

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