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Let $K(G)$ be the Grothendieck constant of a graph with adjacency matrix $A$. How is $K(G)$ precisely related to approximation limits for some standard NP complete problems such as Chromatic, Independence and Clique number approximation?

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Do you know the survey arxiv.org/abs/1108.2464 by Khot and Naor? It seems that you should find answers to your question there. –  Mikael de la Salle Jul 12 '12 at 8:01
    
This is a good reference. Thankyou. –  J.A Jul 12 '12 at 8:03
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