MATH 584


This is an advanced graduate course about a variety of methods in combinatorics, generally offered once every four 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. The topics in this course vary with the instructor. Main topics this semester include Enumeration, Ramsey Theory and Combinatorial Games, Design Theory, Algebraic Methods, and Geometric/Topological Methods. For the important and frequently-used Probabilistic Method, we now have a separate course; it is now taught as a topics course (595 offered also this semester), but it will eventually be Math 585.

Resources (mostly in postscript)