Equality of complexity classes P and NP: Linear programming formulation of the quadratic assignment problem

Moustapha Diaby

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Equality of complexity classes P and NP: Linear programming formulation of the quadratic assignment problem

Moustapha Diaby

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Abstract

In this paper, we present a polynomial-sized linear programming formulation of the Quadratic Assignment Problem (QAP). The proposed linear program is a network flow-based model. Hence, it provides for the solution of the QAP in polynomial time. Computational testing and results are discussed.

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Moustapha Diaby. 2007-05-13. Equality of complexity classes P and NP: Linear programming formulation of the quadratic assignment problem. https://arxiv.org/abs/cs/0609004

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