CSC 2427 - Topics in Graph Theory: Random Graphs Instructor: Mike Molloy Time: Tuesday 4-6 Room: UC 257 We will study many of the most important properties of random graphs, including connectivity, clique number, chromatic number, hamiltonicity and the emergence of the giant component. We will also study related random structures such as random instances of k-SAT formulae and random instances of constraint satisfaction problems. Background: A solid background in graph theory, such as that provided by CSC 2420, is important. A deep background in probability is not necessary, but one should be comfortable with basic concepts such as expected values. Text: There is no required text, but the book "Random Graphs" by Janson, Luczak and Rucinski is strongly recommended.