Inspired by empirical studies of networked systems such as the Internet, social networks, and bio-logical networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior of these systems. Here we review developments in this field, including such concepts as the small-world eect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.
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1839
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The Anatomy of a Large-Scale Hypertextual Web Search Engine
– Brin, Page
- 1998
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1669
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Authoritative sources in a hyperlinked environment
– Kleinberg
- 1999
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1192
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Random Graphs
– Bollobás
- 1985
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1064
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The PageRank Citation Ranking: Bringing Order to the Web
– Page, Brin, et al.
- 1999
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919
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M: An introduction to genetic algorithms The
– Mitchell
- 1997
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904
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On the evolution of random graphs
– Erdős, Rényi
- 1961
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871
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Network flows: theory, algorithms, and applications
– Ahuja, Magnanti, et al.
- 1993
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829
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Emergence of scaling in random networks
– Barabasi, Albert
- 1999
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786
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On power-law relationships of the Internet topology
– Faloutsos, Faloutsos, et al.
- 1999
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740
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Collective dynamics of ‘smallworld’ networks
– Watts, Strogatz
- 1998
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724
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Extremal graph theory
– Bollobas
- 1978
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620
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Social Information Filtering: Algorithms for Automating "Word of Mouth" SIGCHI '95
– Shardanand, Maes
- 1995
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613
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Data clustering: a review
– Jain, Murty, et al.
- 1999
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590
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The X Window System
– R, Gettys
- 1986
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478
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Statistical mechanics of complex networks
– Albert, Barabási
- 2002
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441
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Using collaborative filtering to weave an information tapestry
– Goldberg, Nichols, et al.
- 1992
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401
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The Small World Problem
– Milgram
- 1967
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387
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Random Graphs
– Janson, ̷Luczak, et al.
- 2000
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337
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The small world phenomenon: an algorithmic perspective
– Kleinberg
- 1999
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325
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The origins of order
– Kauffman
- 1993
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313
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Collective dynamics of small-world networks. Nature, 393:440–442
– Watts, Strogatz
- 1998
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298
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Cluster Analysis
– Everitt
- 1980
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266
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JM: A comprehensive analysis of protein-protein interactions in Saccharomyces cerevisiae
– Uetz, Giot, et al.
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265
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Sakaki Y: A comprehensive two-hybrid analysis to explore the yeast protein interactome
– Ito, Chiba, et al.
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233
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A random graph model for massive graphs
– Aiello, Chung, et al.
- 2000
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214
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Social Network Analysis
– Wasserman, Faust
- 1994
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212
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MEJ: Community structure in social and biological networks
– Girvan, Newman
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208
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The web as a graph: Measurements, models and methods
– Kleinberg, Kumar, et al.
- 1999
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203
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Mapping the Gnutella network: properties of large-scale peer-to-peer systems and implications for system design
– Ripeanu, Foster, et al.
- 2002
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197
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The large-scale organization of metabolic networks
– Jeong, Gombor, et al.
- 2000
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193
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The Hypercycle - a principle of natural self-organization
– Eigen, Schuster
- 1979
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183
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Nonlinear Dynamics and Chaos
– Strogatz
- 1994
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175
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Linked: A New Science of Networks
– Barabasi
- 2002
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153
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D: Random graphs with arbitrary degree distributions and their applications
– Newman, Strogatz, et al.
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149
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The Structure of Scientific Collaboration Networks
– Newman
- 2001
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147
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Social Network Analysis: A Handbook
– Scott
- 1991
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146
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Network motifs: Simple building blocks of complex networks
– Milo, Shen-Orr, et al.
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143
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Stochastic models for the web graph
– Kumar, Raghavan, et al.
- 2000
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142
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Metabolic Stability and Epigenesis in Randomly Constructed Genetic Nets
– Kauffman
- 1969
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142
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Exploring complex networks
– Strogatz
- 2001
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139
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Search in power law networks
– Adamic, Lukose, et al.
- 2001
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137
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Scale-free characteristics of random networks: the topology of the World
– Barabasi, Albert, et al.
- 2000
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132
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Network motifs in the transcriptional regulation network of escherichia coli
– Shen-Orr, Milo, et al.
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129
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A Critical Point for Random Graphs with a Given Degree Sequence,” Random Structures and Algorithms
– Molloy, Reed
- 1995
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127
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The mathematical theory of infectious diseases and its applications
– Bailey
- 1975
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118
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Evolution of Networks: From Biological Nets to the Internet and WWW
– Dorogovtsev, Mendes
- 2003
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118
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Lethality and centrality in protein networks
– Jeong, Mason, et al.
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117
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Classes of small-world networks
– Amaral, Scala, et al.
- 2000
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109
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On a class of skew distribution functions
– Simon
- 1955
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108
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A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
– Bollobás
- 1980
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