On a Linear-Programming, Combinatorial Approach to the Traveling-Salesman Problem

This is the authors' abstract. We don't add key points for this paper.

This paper elaborates a method of attack on traveling-salesman problems, proposed by the authors in an earlier paper, in which linear programming is used to reduce the combinatorial magnitude of such problems. To illustrate the method, a step-by-step solution of Barachet's ten-city example is presented.