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In this paper, we present a polynomial-time algorithm for the maximum cliqueproblem, which implies P = NP. Our algorithm is based on a continuousgame-theoretic representation of this problem and at its heart lies adiscrete-time dynamical system. The rule of our dynamical system depends on aparameter such that if this parameter is equal to the maximum-clique size, theiterates of our dynamical system are guaranteed to converge to a maximumclique.

Poising on Ariadne's thread: An algorithm for computing a maximum clique in polynomial time