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The strange logic of random graphs

Author: Joel H Spencer
Publisher: Berlin ; New York : Springer, ©2001.
Series: Algorithms and combinatorics, 22.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Joel H Spencer
ISBN: 3540416544 9783540416548 3642074995 9783642074998
OCLC Number: 46858406
Description: x, 168 pages : illustrations ; 25 cm.
Contents: pt. I. Beginnings --
Two Starting Examples. 1. Preliminaries. 2. The Ehrenfeucht Game --
pt. 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 Power of n --
pt. III. Extras. 9. A Dynamic View. 10. Strings. 11. Stronger Logics. 12. Three Final Examples.
Series Title: Algorithms and combinatorics, 22.
Responsibility: Joel Spencer.
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Abstract:

The study of random graphs was begun in the 1960s and has a comprehensive literature. This book studies random graphs (and other random discrete objects) with mathematical logic. It presents the  Read more...

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From the reviews of the first edition: "The author ... is a leading expert in random graph theory, and reputed for his expository style. His recent book is again a well-written and exciting text, Read more...

 
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