%0 Journal Article %T Classic Lagrangian may not be applicable to the traveling salesman problem %A Michael X. Zhou %J Computer Science %D 2014 %I arXiv %X In this short note, the dual problem for the traveling salesman problem is constructed through the classic Lagrangian. The existence of optimality conditions is expressed as a corresponding inverse problem. A general 4-cities instance is given, and the numerical experiment shows that the classic Lagrangian may not be applicable to the traveling salesman problem. %U http://arxiv.org/abs/1405.1298v1