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Item Details
Title: ORTHOGONAL DECOMPOSITIONS AND FUNCTIONAL LIMIT THEOREMS FOR RANDOM GRAPH STATISTICS
By: Svante Janson
Format: Paperback

List price: £36.95


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ISBN 10: 082182595X
ISBN 13: 9780821825952
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 October, 1994
Series: Memoirs of the American Mathematical Society No. 534
Pages: 78
Description: Develops a method to obtain limit theorems for various functionals of random graphs. This title presents results that 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.
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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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