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Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

Physics and Society · Physics 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

Complex networks emerge under different conditions through simple rules of growth and evolution. Such rules are typically local when dealing with biological systems and most social webs. An important deviation from such scenario is provided…

Physics and Society · Physics 2007-05-23 Sergi Valverde , Ricard V. Sole

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

The importance of modeling and analyzing Social Networks is a consequence of the success of Online Social Networks during last years. Several models of networks have been proposed, reflecting the different characteristics of Social…

Social and Information Networks · Computer Science 2012-02-03 Emilio Ferrara , Giacomo Fiumara

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

We study a recently introduced class of scale-free networks showing a high clustering coefficient and non-trivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the…

Statistical Mechanics · Physics 2009-11-07 Alexei Vazquez , Marian Boguna , Yamir Moreno , Romualdo Pastor-Satorras , Alessandro Vespignani

We present an empirical study of different social networks obtained from digital repositories. Our analysis reveals the community structure and provides a useful visualising technique. We investigate the scaling properties of the community…

Statistical Mechanics · Physics 2009-11-10 Alex Arenas , Leon Danon , Albert Diaz-Guilera , Pablo M. Gleiser , Roger Guimera

Our recent paper [Grauwin et al. Sci. Rep. 7 (2017)] demonstrates that community and hierarchical structure of the networks of human interactions largely determines the least and should be taken into account while modeling them. In the…

Social and Information Networks · Computer Science 2017-12-18 Stanislav Sobolevsky

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

The collaboration network is an example of a social network which has both non-trivial temporal and spatial dependence. Based on the observations of collaborations in Physical Review Letters, a model of collaboration network is proposed…

Physics and Society · Physics 2009-11-13 Anjan Kumar Chandra , Kamalika Basu Hajra , Pratap Kumar Das , Parongama Sen

This paper presents a statistical analysis of the structure of Peer-to-Peer (P2P) social networks that captures social associations of distributed peers in resource sharing. Peer social networks appear to be mainly composed of pure resource…

Physics and Society · Physics 2007-05-23 Fang Wang , Yamir Moreno , Yaoru Sun

Data-driven analysis of large social networks has attracted a great deal of research interest. In this paper, we investigate 120 real social networks and their measurement-calibrated synthetic counterparts generated by four well-known…

Social and Information Networks · Computer Science 2019-08-23 Marcell Nagy , Roland Molontay

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

Physics and Society · Physics 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

Physics and Society · Physics 2015-05-30 Sinisa Pajevic , Dietmar Plenz

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

Statistical Mechanics · Physics 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

Many complex networks, including human societies, the Internet, the World Wide Web and power grids, have surprising properties that allow vertices (individuals, nodes, Web pages, etc.) to be in close contact and information to be…

Statistical Mechanics · Physics 2007-05-23 David Lusseau

The World-Wide Web (WWW) is characterized by a strong community structure in which communities of webpages (e.g. those sharing a common keyword) are densely interconnected by hyperlinks. We study how such network architecture affects the…

Other Condensed Matter · Physics 2007-05-23 Huafeng Xie , Koon-Kiu Yan , Sergei Maslov
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