The Constant Inapproximability of the Parameterized Dominating Set Problem

Yijia Chen; Bingkai Lin

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arXiv · 1511.00075

The Constant Inapproximability of the Parameterized Dominating Set Problem

Yijia Chen·Bingkai Lin

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Abstract

We prove that there is no fpt-algorithm that can approximate the dominating set problem with any constant ratio, unless FPT= W[1]. Our hardness reduction is built on the second author's recent W[1]-hardness proof of the biclique problem. This yields, among other things, a proof without the PCP machinery that the classical dominating set problem has no polynomial time constant approximation under the exponential time hypothesis.

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Yijia Chen, Bingkai Lin. 2015-11-15. The Constant Inapproximability of the Parameterized Dominating Set Problem. https://arxiv.org/abs/1511.00075

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