Memoirs of the American Mathematical Society 1994; 78 pp; softcover Volume: 111 ISBN10: 082182595X ISBN13: 9780821825952 List Price: US$39 Individual Members: US$23.40 Institutional Members: US$31.20 Order Code: MEMO/111/534
 This book develops a method to obtain limit theorems for various functionals of random graphs. The method is based on a certain orthogonal decomposition. Janson's results include limit theorems for the two standard random graph models, \(G_{n,p}\) and \(G_{n,m}\), as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Janson obtains both normal and nonnormal limits, and the method provides an explanation for the appearance of nonnormal limits. Applications to subgraph counts and to vertex degrees are presented as examples. Readership Researchers in random graph theory and related fields. Possibly including some theoretical computer scientists. Table of Contents  Foundations
 Limit theorems
 Examples
 References
