This course is an introduction to combinatorics with a focus that includes graph theory. Specific topics covered are enumerative combinatorics up to inclusion-exclusion, the theory of simple graphs, ...

Combinatorics and discrete mathematics form a vibrant and expansive branch of modern mathematics, dedicated to the study of finite or countable structures and the methods used to count, classify, and ...

Introduction to the art of counting. The focus will be on actually listing the objects being counted in small cases and using the knowledge gained in working with small cases to build toward general ...

Carnegie Mellon University Associate Professor Michael Young considers ways his research could be applied to improve efficiency in an electrical power grid. Using techniques from theoretical graph ...

N. Alon, J. Spencer, The Probabilistic Method, Wiley, 1992. Additional course notes may be distributed. The main theme of the course will be concerned with applications of probabilistic methods in ...