title: Rounding By Sampling Method and the Traveling Salesman Problem. Abstract: Rounding by Sampling method is an emerging idea in the fields of combinatorial optimization and approximation algorithms. It is a new randomized rounding method that rounds the fractional solution of the linear programming relaxation by sampling from a particular marginal preserving distribution on the integer points. Recently, this technique has been applied quite successfully to various problems including different variants of the traveling salesman problem, max-min fair allocation, online stochastic matching, . In this talk I will describe the application of this method to the traveling salesman problem.