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Catalogue Information
Field name	Details
Dewey Class	511.1
Title	The Strange Logic of Random Graphs ([EBook] /) / by Joel Spencer.
Author	Spencer, Joel
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2001.
Physical Details	X, 168 p. : online resource.
Series	Algorithms and Combinatorics 0937-5511 ; ; 22
ISBN	9783662045381
Summary Note	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.:
Contents note	I. Beginnings -- 0. Two Starting Examples -- 1. Preliminaries -- 2. The Ehrenfeucht Game -- II. Random Graphs -- 3. Very Sparse Graphs -- 4. The Combinatorics of Rooted Graphs -- 5. The Janson Inequality -- 6. The Main Theorem -- 7. Countable Models -- 8. Near Rational Powers of n -- III. Extras -- 9. A Dynamic View -- 10. Strings -- 11. Stronger Logics -- 12. Three Final Examples.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04538-1
Links to Related Works	Subject References: Combinatorics . Computer Science . Computers . Discrete Mathematics . Mathematics . Mathematics of Computing . Theory of Computation . Authors: Spencer, Joel . Corporate Authors: SpringerLink (Online service) . Series: Algorithms and Combinatorics . Classification: 511.1 .

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The Strange Logic of Random Graphs

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