The Constant Inapproximability of the Parameterized Dominating Set Problem

被引：13

作者：

Chen, Yijia ^{[1
]}

Lin, Bingkai ^{[2
]}

机构：

[1] Fudan Univ, Sch Comp Sci, Shanghai, Peoples R China

[2] JST, ERATO, Kawarabayashi Large Graph Project NII, Chiyoda Ku, 2-1-2 Hitotsubashi, Tokyo 1018430, Japan

来源：

2016 IEEE 57TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS) | 2016年

关键词：

fpt inapproximability; dominating set; W[1; ETH; APPROXIMATION;

D O I：

10.1109/FOCS.2016.61

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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 [25]. 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.

引用

页码：505 / 514

页数：10

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