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Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant…

Physics and Society · Physics 2015-05-26 Zhihao Wu , Giulia Menichetti , Christoph Rahmede , Ginestra Bianconi

We introduce an intuitive model that describes both the emergence of community structure and the evolution of the internal structure of communities in growing social networks. The model comprises two complementary mechanisms: One mechanism…

Physics and Society · Physics 2016-08-26 Jean-Gabriel Young , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

Many real-world complex networks arise as a result of a competition between growth and rewiring processes. Usually the initial part of the evolution is dominated by growth while the later one rather by rewiring. The initial growth allows…

Statistical Mechanics · Physics 2020-10-07 Zdzislaw Burda , Michalina Kotwica , Krzysztof Malarz

A social network grows over a period of time with the formation of new connections and relations. In recent years we have witnessed a massive growth of online social networks like Facebook, Twitter etc. So it has become a problem of extreme…

Social and Information Networks · Computer Science 2015-09-25 Amit Kumar Verma , Manjish Pal

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

A common trait involving the opinion dynamics in social networks is an anchor on interacting network to characterize the opinion formation process among participating social actors, such as information flow, cooperative and antagonistic…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Wentao Zhang , Zhiqiang Zuo , Yijing Wang

Networks represent relationships between entities in many complex systems, spanning from online social interactions to biological cell development and brain connectivity. In many cases, relationships between entities are unambiguously…

Social and Information Networks · Computer Science 2018-01-23 Ivan Brugere , Brian Gallagher , Tanya Y. Berger-Wolf

How does the collaboration network of researchers coalesce around a scientific topic? What sort of social restructuring occurs as a new field develops? Previous empirical explorations of these questions have examined the evolution of…

Social and Information Networks · Computer Science 2018-01-16 Daniel T. Citron , Samuel F. Way

The study of citation networks is of interest to the scientific community. However, the underlying mechanism driving individual citation behavior remains imperfectly understood, despite the recent proliferation of quantitative research…

Physics and Society · Physics 2021-11-03 Feng Hu , Lin Ma , Xiu-Xiu Zhan , Yinzuo Zhou , Chuang Liu , Haixing Zhao , Zi-Ke Zhang

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

Social and Information Networks · Computer Science 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

Many social, technological and biological interactions involve network relationships whose outcome intimately depends on the structure of the network and on the strengths of the connections. Yet, although much information is now available…

Statistical Mechanics · Physics 2009-11-10 Guido Caldarelli , Fabrizio Coccetti , Paolo De Los Rios

We consider the population dynamics of a set of species whose network of catalytic interactions is described by a directed graph. The relationship between the attractors of this dynamics and the underlying graph theoretic structures like…

adap-org · Physics 2009-10-30 Sanjay Jain , Sandeep Krishna

It is an increasingly common practice in several natural and social sciences to rely on network visualisations both as heuristic tools to get a first overview of relational datasets and as a way to offer an illustration of network analysis…

Physics and Society · Physics 2019-05-08 Tommaso Venturini , Mathieu Jacomy , Pablo Jensen

Social groups with widely different music tastes, political convictions, and religious beliefs emerge and disappear on scales from extreme subcultures to mainstream mass-cultures. Both the underlying social structure and the formation of…

Physics and Society · Physics 2007-11-12 M. Rosvall , K. Sneppen

There has been considerable recent interest in the properties of networks, such as citation networks and the worldwide web, that grow by the addition of vertices, and a number of simple solvable models of network growth have been studied.…

Statistical Mechanics · Physics 2011-11-09 Cristopher Moore , Gourab Ghoshal , M. E. J. Newman

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

The same concept can mean different things or be instantiated in different forms depending on context, suggesting a degree of flexibility within the conceptual system. We propose that a compositional network model can be used to capture and…

Neurons and Cognition · Quantitative Biology 2019-03-21 Sarah H. Solomon , John D. Medaglia , Sharon L. Thompson-Schill

It is now generally assumed that the heterogeneity of most networks in nature probably arises via preferential attachment of some sort. However, the origin of various other topological features, such as degree-degree correlations and…

Adaptation and Self-Organizing Systems · Physics 2010-03-05 Samuel Johnson , J. Marro , Joaquin J. Torres

Building on existing stochastic actor-oriented models for panel data, we employ a conditional logistic framework to explore growth mechanisms for tie creation in continuously-observed networks. This framework models the likelihood of tie…

Physics and Society · Physics 2011-08-19 Tore Opsahl , Bernie Hogan

We introduce evolving networks where new vertices preferentially connect to the more central parts of a network. This makes such networks compact. Finite networks grown under the preferential compactness mechanism have complex…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Alava , S. N. Dorogovtsev
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