|Author||Feige, Uriel ♦ Goldwasser, Shafi ♦ Lovsz, Laszlo ♦ Safra, Shmuel ♦ Szegedy, Mario|
|Source||ACM Digital Library|
|Publisher||Association for Computing Machinery (ACM)|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||Hardness of approximation ♦ Independent set in a graph ♦ Multilinearity testing np-completeness ♦ Probabilistically checkable proofs|
|Abstract||The contribution of this paper is two-fold. First, a connection is established between approximating the size of the largest clique in a graph and multi-prover interactive proofs. Second, an efficient multi-prover interactive proof for NP languages is constructed, where the verifier uses very few random bits and communication bits. Last, the connection between cliques and efficient multi-prover interaction proofs, is shown to yield hardness results on the complexity of approximating the size of the largest clique in a graph.Of independent interest is our proof of correctness for the multilinearity test of functions.|
|Age Range||18 to 22 years ♦ above 22 year|
|Education Level||UG and PG|
|Learning Resource Type||Article|
|Publisher Place||New York|
|Journal||Journal of the ACM (JACM)|
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