Abstract
Complex networks describe a wide range of systems in nature and society, much\nquoted examples including the cell, a network of chemicals linked by chemical\nreactions, or the Internet, a network of routers and computers connected by\nphysical links. While traditionally these systems were modeled as random\ngraphs, it is increasingly recognized that the topology and evolution of real\nnetworks is governed by robust organizing principles. Here we review the recent\nadvances in the field of complex networks, focusing on the statistical\nmechanics of network topology and dynamics. After reviewing the empirical data\nthat motivated the recent interest in networks, we discuss the main models and\nanalytical tools, covering random graphs, small-world and scale-free networks,\nas well as the interplay between topology and the network's robustness against\nfailures and attacks.\n
Keywords
Complex networkStatistical mechanicsNetwork topologyRandom graphInterdependent networksEvolving networksRobustness (evolution)Scale-free networkNetwork formationTopology (electrical circuits)Hierarchical network modelNetwork scienceNetwork dynamicsComputer sciencePreferential attachmentTheoretical computer scienceThe InternetDistributed computingPhysicsStatistical physicsComputer networkGraphWorld Wide WebMathematics
Affiliated Institutions
Related Publications
Evolution of networks
We review the recent fast progress in statistical physics of evolving\nnetworks. Interest has focused mainly on the structural properties of random\ncomplex networks in communic...
On the bias of traceroute sampling
Understanding the graph structure of the Internet is a crucial step for building accurate network models and designing efficient algorithms for Internet applications. Yet, obtai...
Consensus and Cooperation in Networked Multi-Agent Systems
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This paper provides a theoretical framework for analysis of consensus algorithms...
The click modular router
Clicks is a new software architecture for building flexible and configurable routers. A Click router is assembled from packet processing modules called elements . Individual ele...
Functional and topological characterization of protein interaction networks
Abstract The elucidation of the cell's large‐scale organization is a primary challenge for post‐genomic biology, and understanding the structure of protein interaction networks ...
Publication Info
- Year
- 2002
- Type
- article
- Volume
- 74
- Issue
- 1
- Pages
- 47-97
- Citations
- 20121
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
20121
OpenAlex
Cite This
Réka Albert,
Albert‐László Barabási
(2002).
Statistical mechanics of complex networks.
Reviews of Modern Physics
, 74
(1)
, 47-97.
https://doi.org/10.1103/revmodphys.74.47
Identifiers
- DOI
- 10.1103/revmodphys.74.47