The Structure and Dynamics of Networks

Mark Newman; Albert-László Barabási; Duncan J. Watts

Published by Princeton University Press 2006

The Structure and Dynamics of Networks

Mark Newman , Albert-László Barabási and Duncan J. Watts

Volume 12 in the series Princeton Studies in Complexity

https://doi.org/10.1515/9781400841356

Overview
Contents

About this book

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.

Author / Editor information

Mark Newman is Professor of Physics at the University of Michigan. Albert-László Barabási is Emil T. Hofman Professor of Physics at the University of Notre Dame. He is the author of Linked: The New Science of Networks (Perseus Books). Duncan J. Watts is Associate Professor of Sociology at Columbia University. He is the author of Six Degrees: The Science of a Connected Age (W. W. Norton) and Small Worlds: The Dynamics of Networks Between Order and Randomness (Princeton).

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

"This excellent collection of papers will provide great one-stop shopping to those working in the evolving world of network research. It may very well become a standard resource for the growing number of courses on networks now beginning to pervade curricula. Indeed, a current difficulty in teaching such a course is that there are no good texts, and a quick look around the Web reveals that almost all these courses are taught using research papers, many of which appear in this collection."—Dan Rockmore, Dartmouth College

"I read this anthology with great interest. The editors took pains to locate (and even translate) a significant number of papers predating the recent surge of interest in the science of networks, and they do a fine job of clarifying what exactly is new (and what is not so new) in the modern approach as reflected in the vast literature on the subject. The introduction to each section nicely summarizes the main findings of the featured articles."—Sergei Maslov, Brookhaven National Laboratory

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

Each and every one of the featured papers represents a fundamental breakthrough, forming altogether a highly coherent body of knowledge. Professors Newman, Barabási, 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.---Marián Boguñá, Journal of Statistical Physics

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.

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	v
Preface Requires Authentication Unlicensed Licensed Download PDF	ix
Chapter One. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter Two. Historical developments
Chain-links Frigyes Karinthy Requires Authentication Unlicensed Licensed Download PDF	21
Connectivity of random nets Ray Solomonoff and Anatol Rapoport Requires Authentication Unlicensed Licensed Download PDF	27
On the evolution of random graphs P. Erdös and A. Rényi Requires Authentication Unlicensed Licensed Download PDF	38
Contacts and influence Ithiel de Sola Pool and Manfred Kochen Requires Authentication Unlicensed Licensed Download PDF	83
An experimental study of the small world problem Jeffrey Travers and Stanley Milgram Requires Authentication Unlicensed Licensed Download PDF	130
Networks of scientific papers D. J. de S. Price Requires Authentication Unlicensed Licensed Download PDF	149
Famous trails to Paul Erdös R. de Castro and J.W. Grossman Requires Authentication Unlicensed Licensed Download PDF	155
Chapter 3. Empirical Studies
Diameter of the world-wide web R. Albert, H. Jeong and A.-L. Barabási Requires Authentication Unlicensed Licensed Download PDF	182
Graph structure in the web Andrei Broder, Ravi Kumar, Farzin Maghoul, Prabhakar Raghavan, Sridhar Rajagopalan, Raymie Stata, Andrew Tomkins and Janet Wiener Requires Authentication Unlicensed Licensed Download PDF	183
On power-law relationships of the internet topology M. Faloutsos, P. Faloutsos and C. Faloutsos Requires Authentication Unlicensed Licensed Download PDF	195
Classes of small-world networks L.A.N. Amara, A. Scala, M. Barthelemy and H.E. Stanley Requires Authentication Unlicensed Licensed Download PDF	207
The large-scale organization of metabolic networks H. Jeong, B. Tombort, R. Albert, L.N. Oltvai and A.-L. Barabási Requires Authentication Unlicensed Licensed Download PDF	211
The small world of metabolism David A. Felland and Andreas Wagner Requires Authentication Unlicensed Licensed Download PDF	215
Network Motifs: Simple Building Blocks of Complex Networks R. Milo, S. Shen-Orr, S. ltzkovitz, N. Kashtan, D. Chktovskii and U. Alan Requires Authentication Unlicensed Licensed Download PDF	217
The structure of scientific collaboration networks M.E.J. Newman Requires Authentication Unlicensed Licensed Download PDF	221
The web of human sexual contacts F. Liljeros Requires Authentication Unlicensed Licensed Download PDF	227
Chapter 4. Models of networks
4.1 RANDOM GRAPH MODELS Requires Authentication Unlicensed Licensed Download PDF	229
A Critical Point for Random Graphs with a Given Degree Sequence Michael Molloy and Bruce Reed Requires Authentication Unlicensed Licensed Download PDF	240
A Random Graph Model for Massive Graphs W. Aiello, F. Chung and L. Lu Requires Authentication Unlicensed Licensed Download PDF	259
Random graphs with arbitrary degree distributions and their applications M.E.J. Newman, S.H. Strogatz and D.J. Watts Requires Authentication Unlicensed Licensed Download PDF	269
4.2 THE SMALL-WORLD MODEL Requires Authentication Unlicensed Licensed Download PDF	286
Collective dynamics of 'small-world' networks Duncan J. Watts and Steven H. Strogatz Requires Authentication Unlicensed Licensed Download PDF	301
Small-World Networks: Evidence for a Crossover Picture M. Barthélémy and L.A.N. Amaral Requires Authentication Unlicensed Licensed Download PDF	304
Comment on "Small-world networks: Evidence for crossover picture" A. Barrat Requires Authentication Unlicensed Licensed Download PDF	308
Scaling and percolation in the small-world network model M.E.J. Newman and D.J. Walls Requires Authentication Unlicensed Licensed Download PDF	310
On the properties of small-world network models A. Barrat and M. Weigt Requires Authentication Unlicensed Licensed Download PDF	321
4.3 MODELS OF SCALE-FREE NETWORKS Requires Authentication Unlicensed Licensed Download PDF	335
Emergence of Scaling in Random Networks A.-L. Barabási and R. Albert Requires Authentication Unlicensed Licensed Download PDF	349
Structure of Growing Networks with Preferential Linking S.N. Dorogovtsev, J.F.F. Mendes and A.N. Samukhinu Requires Authentication Unlicensed Licensed Download PDF	353
Connectivity of Growing Ra ndom Networks P.L. Krapivsky, S. Redner and F. Leyvraz Requires Authentication Unlicensed Licensed Download PDF	357
Competition and multiscaling m evolving networks G. Bianconi and A.-L. Barabási Requires Authentication Unlicensed Licensed Download PDF	361
Universal Behavior of Load Distribution in Scale-Free Networks K.-I. Uoh, B. Kahng and D. Kim Requires Authentication Unlicensed Licensed Download PDF	368
Spectra of "real-world" graphs: Beyond the semicircle law Illes J. Farkas, Imre Derenyi, A.-L. Barabási and Tamas Vicsek Requires Authentication Unlicensed Licensed Download PDF	372
The Degree Sequence of a Scale-Free Random Graph Process Béla Bollobás, Oliver Riordan, Joel Spencer and Gábor Tusnády Requires Authentication Unlicensed Licensed Download PDF	384
A MODEL OF LARGE-SCALE PROTEOME EVOLUTION Ricard V. Solé, Romualdo Pastor-Satorras, Eric Smith and Thomas B. Kepler Requires Authentication Unlicensed Licensed Download PDF	396
Modeling of Protein Interaction Networks A. Vázquez, A. Flammini, A. Maritan and A. Vespignani Requires Authentication Unlicensed Licensed Download PDF	408
Chapter Five. Applications
5.1 EPIDEMICS AND RUMORS Requires Authentication Unlicensed Licensed Download PDF	415
5.2 ROBUSTNESS OF NETWORKS Requires Authentication Unlicensed Licensed Download PDF	424
5.3 SEARCHING NETWORKS Requires Authentication Unlicensed Licensed Download PDF	428
EPIDEMICS WITH TWO LEVELS OF MIXING Frank Ball, Denis Mollison and Gianpaolo Scalla-Tomba Requires Authentication Unlicensed Licensed Download PDF	436
The effects of local spatial structure on epidemiological invasions M.J. Keeling Requires Authentication Unlicensed Licensed Download PDF	480
Small World Effect in an Epidemiological Model Marcelo Kupennan and Guillermo Abramson Requires Authentication Unlicensed Licensed Download PDF	489
Epidemic Spreading in Scale-Free Networks Romualdo Pastor-Satorras and Alessandro Vespignanj Requires Authentication Unlicensed Licensed Download PDF	493
A simple model of global cascades on random networks Duncan J. Watts Requires Authentication Unlicensed Licensed Download PDF	497
Error and attack tolerance of complex networks Réka Albert, Hawoong Jeong and Albert-Laszlo Barabási Requires Authentication Unlicensed Licensed Download PDF	503
Resilience of the Internet to Random Breakdowns Reuven Cohen, Keren Erez, Daniel and Shlomo Havlinl Requires Authentication Unlicensed Licensed Download PDF	507
Network Robustness and Fragility: Percolation on Random Graphs Duncan S. Callaway, M.E.J. Newman, Steven H. Strogatz and Duncan J. Watts Requires Authentication Unlicensed Licensed Download PDF	510
Authoritative Sources in a Hyperlinked Environment Jon M. Kleinberg Requires Authentication Unlicensed Licensed Download PDF	514
Search in power-law networks L. A. Adamic, R. M. Lukose, A. R. Puniyani and B. A. Huberman Requires Authentication Unlicensed Licensed Download PDF	543
Navigation in a small world J. M. Kleinberg Requires Authentication Unlicensed Licensed Download PDF	551
Chapter Six. Outlook Requires Authentication Unlicensed Licensed Download PDF	553
References Requires Authentication Unlicensed Licensed Download PDF	559
Index Requires Authentication Unlicensed Licensed Download PDF	575

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