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Name: Random Graph Dynamics~tqw~ darksiderg
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Size: 1.2 MB
Date Add: October 02, 2008
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Random Graph Dynamics

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General Information

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Type.................: Ebook

Part Size............: 1,290,435 bytes









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Posted by............: ~tqw~



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Release Notes

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The notion of six degrees of separation - that any two people on the planet can

be connected by a short chain of people - inspired Strogatz and Watts to define

the small world random graph, where each site is connected to close neighbours,

but also has long range connections. At about the same time, it was observed in

human social networks and on the internet that the number of neighbours of an

individual has a power law distribution. This inspired Barabasi and Albert to

define the preferential attachment model, which has these properties. These two

papers led to an explosion of research, but much was nonrigorous and relied on

simulations. This book uses mathematical arguments to obtain insights into these

graphs. A unique feature of this book is the interest in the dynamics of process

taking place on the graphs in addition to their geometric properties, like

correctness and diameter.



Table Of Contents



Preface page vii

1. Overview 1

2. Erd¨os–R´enyi Random Graphs 27

3. Fixed Degree Distributions 70

4. Power Laws 90

5. Small Worlds 132

6. Random Walks 153

7. CHKNS Model 187

References 203

Index 211



Product Details



* ISBN: 0521866561

* ISBN-13: 9780521866569

* Format: Textbook Hardcover, 212pp

* Publisher: Cambridge University Press

* Pub. Date: October 2006

* Edition Description: 1ST



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