Equality of complexity classes P and NP: Linear programming formulation of the quadratic assignment problem
Abstract
Description
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.
6 pages; Published in the 2006 IMECS Conference Proceedings (ISBN: 988 98671-3-3); Hofman's claimed "counter-example" is invalid: violates set of constraints 2.10
6 pages; Published in the 2006 IMECS Conference Proceedings (ISBN: 988 98671-3-3); Hofman's claimed "counter-example" is invalid: violates set of constraints 2.10