The Strange Logic of Random Graphs / Edition 1

The Strange Logic of Random Graphs / Edition 1

by Joel Spencer
ISBN-10:
3642074995
ISBN-13:
9783642074998
Pub. Date:
12/03/2010
Publisher:
Springer Berlin Heidelberg

Paperback

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Overview

The Strange Logic of Random Graphs / Edition 1

The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.

Product Details

ISBN-13: 9783642074998
Publisher: Springer Berlin Heidelberg
Publication date: 12/03/2010
Series: Algorithms and Combinatorics , #22
Edition description: Softcover reprint of hardcover 1st ed. 2001
Pages: 168
Product dimensions: 6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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.

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