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Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

The analysis of complex and time-evolving interactions like social dynamics represents a current challenge for the science of complex systems. Temporal networks stand as a suitable tool to schematise such systems, encoding all the appearing…

We introduce an agent-based acquaintance model in which social links are created by processes in which there is no explicit homophily. In spite of the homogeneous nature of the social interactions, highly-clustered social networks can…

Physics and Society · Physics 2014-11-26 Uttam Bhat , P. L. Krapivsky , S. Redner

We describe and develop three recent novelties in network research which are particularly useful for studying social systems. The first one concerns the discovery of some basic dynamical laws that enable the emergence of the fundamental…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Hans J. Herrmann

Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connections in a population. Rewiring of the network may be…

Statistical Mechanics · Physics 2009-09-29 Leah B. Shaw , Ira B. Schwartz

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

Physics and Society · Physics 2008-05-23 Balazs Kozma , Alain Barrat

Numerous concise models such as preferential attachment have been put forward to reveal the evolution mechanisms of real-world networks, which show that real-world networks are usually jointly driven by a hybrid mechanism of multiplex…

Physics and Society · Physics 2016-01-12 Qian-Ming Zhang , Xiao-Ke Xu , Yu-Xiao Zhu , Tao Zhou

Recently, we proposed polycontextural networks as a model of evolving systems of interacting beliefs. Here, we present an analysis of the phase transition as well as the scaling properties. The model contains interacting agents that strive…

Statistical Mechanics · Physics 2025-01-17 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt

We study a social network consisting of over $10^4$ individuals, with a degree distribution exhibiting two power scaling regimes separated by a critical degree $k_{\rm crit}$, and a power law relation between degree and local clustering. We…

Statistical Mechanics · Physics 2009-11-10 Gabor Csanyi , Balazs Szendroi

Consider growing a network, in which every new connection is made between two disconnected nodes. At least one node is chosen randomly from a subset consisting of $g$ fraction of the entire population in the smallest clusters. Here we show…

Statistical Mechanics · Physics 2016-01-20 Y. S. Cho , J. S. Lee , H. J. Herrmann , B. Kahng

Shared opinions are an important feature in the formation of social groups. In this paper, we use the Axelrod model of cultural dissemination to represent opinion-based groups. In the Axelrod model, each agent has a set of features which…

Many real-world social networks constantly change their global properties over time, such as the number of edges, size and density. While temporal and local properties of social networks have been extensively studied, the origin of their…

Physics and Society · Physics 2020-11-18 Teruyoshi Kobayashi , Mathieu Génois

Scale-free power law structure describes complex networks derived from a wide range of real world processes. The extensive literature focuses almost exclusively on networks with power law exponent strictly larger than 2, which can be…

Social and Information Networks · Computer Science 2015-09-29 Harry Crane , Walter Dempsey

A wide variety of complex networks (social, biological, information etc.) exhibit local clustering with substantial variation in the clustering coefficient (the probability of neighbors being connected). Existing models of large graphs…

Discrete Mathematics · Computer Science 2017-09-28 Samantha Petti , Santosh Vempala

Axelrod's model for the dissemination of culture contains two key factors required to model the process of diffusion of innovations, namely, social influence (i.e., individuals become more similar when they interact) and homophily (i.e.,…

Physics and Society · Physics 2015-12-09 Paulo F. C. Tilles , José F. Fontanari

Social reinforcement and modular structure are two salient features observed in the spreading of behavior through social contacts. In order to investigate the interplay between these two features, we study the generalized epidemic process…

Physics and Society · Physics 2014-05-23 Kihong Chung , Yongjoo Baek , Daniel Kim , Meesoon Ha , Hawoong Jeong

In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in…

Adaptation and Self-Organizing Systems · Physics 2015-07-01 Stefan Wieland , Ana Nunes

Threshold models of cascades in the social sciences and economics explain the spread of opinion and innovation due to social influence. In threshold cascade models, fads or innovations spread between agents as determined by their…

Physics and Society · Physics 2021-03-26 Fariba Karimi , Petter Holme

Preferential attachment is a central paradigm in the theory of complex networks. In this contribution we consider various generalizations of preferential attachment including for example node removal and edge rewiring. We demonstrate that…

Statistical Mechanics · Physics 2012-01-24 Heiko Bauke , David Sherrington

Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

Physics and Society · Physics 2009-11-11 Michael Schnegg