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Small worlds : the dynamics of networks between order and randomness

Author: Duncan J Watts
Publisher: Princeton, N.J. : Princeton University Press, ©1999.
Series: Princeton studies in complexity.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The small-world phenomenon states that, soon after meeting a stranger, we are surprised to discover that we are connected through a short chain of acquaintances. This text provides an exploration of the conditions in which a small world can arise.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Duncan J Watts
ISBN: 0691005419 9780691005416 0691117047 9780691117041
OCLC Number: 40602717
Description: xv, 262 pages : illustrations ; 25 cm.
Contents: Kevin Bacon, the Small World, and Why It All Matters --
Structure --
Social Networks and the Small World --
A Brief History of the Small World --
Difficulties with the Real World --
Reframing the Question to Consider All Worlds --
Background on the Theory of Graphs --
Basic Definitions --
Length and Length Scaling --
Neighbourhoods and Distribution Sequences --
Clustering --
"Lattice Graphs" and Random Graphs --
Dimension and Embedding of Graphs --
Big Worlds and Small Worlds: Models of Graphs --
Relational Graphs --
[alpha]-Graphs --
A Stripped-Down Model: [beta]-Graphs --
Shortcuts and Contractions: Model Invariance --
Lies, Damned Lies, and (More) Statistics --
Spatial Graphs --
Uniform Spatial Graphs --
Gaussian Spatial Graphs --
Main Points in Review --
Explanations and Ruminations --
Going to Extremes --
The Connected-Caveman World --
Moore Graphs as Approximate Random Graphs --
Transitions in Relational Graphs --
Local and Global Length Scales --
Length and Length Scaling --
Clustering Coefficient --
Contractions --
Results and Comparisons with [beta]-Model --
Transitions in Spatial Graphs --
Spatial Length versus Graph Length --
Length and Length Scaling --
Clustering --
Results and Comparisons --
Variations on Spatial and Relational Graphs --
Main Points in Review --
"It's a Small World after All": Three Real Graphs --
Making Bacon --
Examining the Graph --
Comparisons --
The Power of Networks --
Examining the System --
Comparisons --
A Worm's Eye View --
Examining the System --
Comparisons --
Other Systems.
Series Title: Princeton studies in complexity.
Responsibility: Duncan J. Watts.
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Abstract:

Everyone knows the small-world phenomenon: soon after meeting a stranger, we are surprised to discover that we have a mutual friend, or we are connected through a short chain of acquaintances. This  Read more...

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"An engaging and informative introduction."--Science "Informally written and aimed at a wide audience, this book shows how mathematics yields new vistas on ubiquitous and seemingly familiar aspects Read more...

 
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