Why LP Cannot Solve Large Instances of NP-complete Problems in Polynomial Time
نویسنده
چکیده
— Using an approach that seems to be patterned after that of Yannakakis, Hofman argues that an NP-complete problem cannot be formulated as a polynomial bounded-sized linear programming problem. He then goes on to propose a " construct " that he claims to be a " counterexample " to recently published linear programming formulations of the Traveling Salesman Problem (TSP) and the Quadratic Assignment Problem (QAP), respectively. In this paper we show that Hofman's approach is flawed, and provide further proof that his " counterexample " is invalid.
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