18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics

As taught in: Spring 2005

Image of an icosahedron.

Claw covering of the graph of an icosahedron from Problem Set 2. (Image by Prof. Igor Pak.)

Level:

Graduate

Instructors:

Prof. Igor Pak

Course Description

This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.