The Strange Logic of Random Graphs:
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Bibliographic Details
Main Author: Spencer, Joel (Author)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2001
Series:Algorithms and Combinatorics 22
Subjects:
Online Access:Volltext
Item Description:The study of random graphs was begun by Paul Erdos and Alfred Renyi in the 1960s and now has a comprehensive literature. A compelling element has been the threshold function, a short range in which events rapidly move from almost certainly false to almost certainly true. This book now joins the study of random graphs (and other random discrete objects) with mathematical logic. The possible threshold phenomena are studied for all statements expressible in a given language. Often there is a zero-one law, that every statement holds with probability near zero or near one. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures. The book will be of interest to graduate students and researchers in discrete mathematics
Physical Description:1 Online-Ressource (X, 168 p)
ISBN:9783662045381
9783642074998
ISSN:0937-5511
DOI:10.1007/978-3-662-04538-1

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