The strange logic of random graphs

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The strange logic of random graphs
Автор
 
Год
 
Страниц
 
179
ISBN
 
ISBN10:3540416544
Издатель
 
Springer
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Описание:

The study of random graphs was begun by Paul Erd?s 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.

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