MATH 583

ORDER AND OPTIMIZATION, Fall 2006

This is an advanced graduate course on partially ordered sets and combinatorial optimization, generally offered once every three semesters (rotating with other courses). Students should be familiar with basic aspects of combinatorics as discussed in Math 580 / CS 571. Fundamental results from that course will be derived as needed. Main topics include Structure of Posets, Linear Extensions, Extremal Problems for Posets, and Matroids. The material on Linear and Integer Programming has moved to Math 588.

Resources (mostly in postscript)