Title: Approximation Algorithms - LP Rounding Methods Chaitanya Swamny Center for the Mathematics of Information California Institute of Technology Abstract: In this second lecture, I will talk about another widely-used technique for designing approximation algorithms that exploits the powerful tool of linear programming (LP). The approach here will be to solve an LP-relaxation of the original (integer) problem and then "round" the fractional solution to an integer one (hence the name LP rounding); the challenge is to do this rounding without degrading the solution quality by much. The talk will focus on some general methods to do this which yield good performance guarantees for numerous NP-hard problems. The talk will be self-contained.