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Clique is hard to approximate within n1-ϵ

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1 Author(s)
J. Hastad ; R. Inst. of Technol., Stockholm, Sweden

The author proves that unless NP=coR, Max Clique is hard to approximate in polynomial time within a factor n1-ε for any ε>0. This is done by, for any δ>0, constructing a proof system for NP which uses δ amortized free bits. A central lemma, which might be of independent interest, gives sufficient conditions (in the form of a certain type of agreement) for creating a global function from local functions certain local consistency conditions

Published in:

Foundations of Computer Science, 1996. Proceedings., 37th Annual Symposium on

Date of Conference:

14-16 Oct 1996