The Structure and Dynamics of Networks

By: Mark Newman, Albert-Lszl Barabsi, Duncan J. Watts

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Paperback | 17 July 2006

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592 Pages

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From the Internet to networks of friendship, disease transmission, and even terrorism, the concept--and the reality--of networks has come to pervade modern society. But what exactly is a network? What different types of networks are there? Why are they interesting, and what can they tell us? In recent years, scientists from a range of fields--including mathematics, physics, computer science, sociology, and biology--have been pursuing these questions and building a new "science of networks." This book brings together for the first time a set of seminal articles representing research from across these disciplines. It is an ideal sourcebook for the key research in this fast-growing field.

The book is organized into four sections, each preceded by an editors' introduction summarizing its contents and general theme. The first section sets the stage by discussing some of the historical antecedents of contemporary research in the area. From there the book moves to the empirical side of the science of networks before turning to the foundational modeling ideas that have been the focus of much subsequent activity. The book closes by taking the reader to the cutting edge of network science--the relationship between network structure and system dynamics. From network robustness to the spread of disease, this section offers a potpourri of topics on this rapidly expanding frontier of the new science.

Industry Reviews

"The Structure and Dynamics of Networks performs an important service by bringing together in one volume a number of papers on network theory, and placing them in their historical context... [T]he volume will serve as an introduction to the topic for the novice and a resource for the more experienced researcher."--Sarah Boslaugh, MAA Reviews "Everyone with a serious interest in the networks studies will want to read the many fine papers this major collection contains. It is to be warmly recommended as a volume deserving to become compulsory reading for all scholars (and students) interested in the field of networks."--Current Engineering Practice "Each and every one of the featured papers represents a fundamental breakthrough, forming altogether a highly coherent body of knowledge. Professors Newman, Barabasi, and Watts succeed in their selection, and at the same time add an extra value to the book with enlightening and interesting discussions. I strongly recommend this book to researchers and students of the field and, in general, to anyone who wants to enter or learn more about this exciting field of research."--Marian Bogu?a, Journal of Statistical Physics "The behavioural scientist interested in the wider picture of how their work fits into the world of networks is recommended this book as a first port of call for classic citations."--Sean A. Rands, Applied Animal Behavior Science

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Preface	p. ix
Introduction	p. 1
A brief history of the study of networks	p. 1
The "new" science of networks	p. 4
Overview of the volume	p. 8
Historical developments	p. 9
Chain-links	p. 21
Connectivity of random nets	p. 27
On the evolution of random graphs	p. 38
Contacts and influence	p. 83
An experimental study of the small world problem	p. 130
Networks of scientific papers	p. 149
Famous trails to Paul Erdos	p. 155
Empirical Studies	p. 167
Diameter of the world-wide web	p. 182
Graph structure in the web	p. 183
On power-law relationships of the internet topology	p. 195
Classes of small-world networks	p. 207
The large-scale organization of metabolic networks	p. 211
The small world of metabolism	p. 215
Network motifs: Simple building blocks of complex networks	p. 217
The structure of scientific collaboration networks	p. 221
The web of human sexual contacts	p. 227
Models of networks	p. 229
Random graph models	p. 229
A critical point for random graphs with a given degree sequence	p. 240
A random graph model for massive graphs	p. 259
Random graphs with arbitrary degree distributions and their applications	p. 269
The small-world model	p. 286
Collective dynamics of 'small-world' networks	p. 301
Small-world networks: Evidence for a crossover picture	p. 304
Comment on 'Small-world networks: Evidence for crossover picture'	p. 308
Scaling and percolation in the small-world network model	p. 310
On the properties of small-world networks, 2000	p. 321
Models of scale-free networks	p. 335
Emergence of scaling in random networks	p. 349
Structure of growing networks with preferential linking	p. 353
Connectivity of growing random networks	p. 357
Competition and multiscaling in evolving networks	p. 361
Universal behavior of load distribution in scale-free networks	p. 368
Spectra of "real-world" graphs: Beyond the semicircle law	p. 372
The degree sequence of a scale-free random graph process	p. 384
A model of large-scale proteome evolution	p. 396
Modeling of protein interaction networks	p. 408
Applications	p. 415
Epidemics and rumors	p. 415
Robustness of networks	p. 424
Searching networks	p. 428
Epidemics with two levels of mixing	p. 436
The effects of local spatial structure on epidemiological invasions	p. 480
Small world effect in an epidemiological model	p. 489
Epidemic spreading in scale-free networks	p. 493
A simple model of global cascades on random networks	p. 497
Error and attack tolerance of complex networks	p. 503
Resilience of the Internet to random breakdowns	p. 507
Network robustness and fragility: Percolation on random graphs	p. 510
Authoritative sources in a hyperlinked environment	p. 514
Search in power-law networks	p. 543
Navigation in a small world	p. 551
Outlook	p. 553
References	p. 559
Index	p. 575
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The Structure and Dynamics of Networks

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