Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

Janson, Svante

Softcover

ISBN 10: 082182595X ISBN 13: 9780821825952

Publisher: American Mathematical Society, 1995

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1995
• Language: English
• ISBN 10: 082182595X
• ISBN 13: 9780821825952
• Binding: Paperback
• Number of pages: 78