 The Resource The strange logic of random graphs, Joel Spencer

The strange logic of random graphs, Joel Spencer Resource Information The item The strange logic of random graphs, Joel Spencer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.

Label
The strange logic of random graphs
Title
The strange logic of random graphs
Statement of responsibility
Joel Spencer
Creator
Subject
Language
eng
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 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."--Jacket
• "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."--BOOK JACKET
Member of
DLC
Spencer, Joel H
Dewey number
511/.5
Illustrations
illustrations
Index
index present
LC call number
QA166.17
LC item number
.S64 2001
Literary form
non fiction
Nature of contents
bibliography
Series statement
Algorithms and combinatorics,
Series volume
22
• Random graphs
• Logic, Symbolic and mathematical
Label
The strange logic of random graphs, Joel Spencer
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages -166) and index
Carrier category
volume
Carrier category code
• nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Contents
• 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.
• pt. I.
• 11.
• Stronger Logics.
• 12.
• Three Final Examples
• Beginnings
• Two Starting Examples.
• 1.
• Preliminaries.
• 2.
• The Ehrenfeucht Game
Control code
46858406
Dimensions
25 cm
Extent
x, 168 pages
Isbn
9783540416548
Isbn Type
(alk. paper)
Lccn
2001032235
Media category
unmediated
Media MARC source
rdamedia
Media type code
• n
Other physical details
illustrations
Label
The strange logic of random graphs, Joel Spencer
Publication
Bibliography note
Includes bibliographical references (pages -166) and index
Carrier category
volume
Carrier category code
• nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Contents
• 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.
• pt. I.
• 11.
• Stronger Logics.
• 12.
• Three Final Examples
• Beginnings
• Two Starting Examples.
• 1.
• Preliminaries.
• 2.
• The Ehrenfeucht Game
Control code
46858406
Dimensions
25 cm
Extent
x, 168 pages
Isbn
9783540416548
Isbn Type
(alk. paper)
Lccn
2001032235
Media category
unmediated
Media MARC source
rdamedia
Media type code
• n
Other physical details
illustrations

Library Locations

• Mathematical Sciences Library
104 Ellis Library, Columbia, MO, 65201, US
38.944377 -92.326537