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Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

In social networks, the balance theory has been studied by considering either the triple interactions between the links (structural balance) or the triple interaction of nodes and links (coevolutionary balance). In the structural balance…

Statistical Mechanics · Physics 2022-10-31 M. Ghanbarzadeh Noudehi , A. Kargaran , N. Azimi-Tafreshi , G. R. Jafari

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have…

Statistical Mechanics · Physics 2010-09-28 Vincent Marceau , Pierre-André Noël , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

Social and Information Networks · Computer Science 2013-05-03 Chantal Cherifi , Jean-François Santucci

Our current world is linked by a complex mesh of networks where information, people and goods flow. These networks are interdependent each other, and present structural and dynamical features different from those observed in isolated…

Physics and Society · Physics 2013-11-13 Filippo Radicchi , Alex Arenas

Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

Adaptation and Self-Organizing Systems · Physics 2019-12-05 Erik Andreas Martens , Konstantin Klemm

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

Neurons and Cognition · Quantitative Biology 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

We present a stochastic dynamics model of coupled evolution for the binary states of nodes and links in a complex network. In the context of opinion formation node states represent two possible opinions and link states a positive or…

Physics and Society · Physics 2018-11-26 Meghdad Saeedian , Maxi San Miguel , Raul Toral

We provide a rigorous solution to the problem of constructing a structural evolution for a network of coupled identical dynamical units that switches between specified topologies without constraints on their structure. The evolution of the…

Physics and Society · Physics 2016-01-20 Charo I. del Genio , Miguel Romance , Regino Criado , Stefano Boccaletti

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Joao Barros

Can the topology of a network that consists of many particles interacting with each other change in complexity when a phase transition occurs? The answer to this question is particularly interesting to understand the nature of phase…

Statistical Mechanics · Physics 2014-08-12 Chung-Pin Chou

We study a coevolution voter model on a network that evolves according to the state of the nodes. In a single update, a link between opposite-state nodes is rewired with probability $p$, while with probability $1-p$ one of the nodes takes…

Physics and Society · Physics 2008-03-19 F. Vazquez , V. M. Eguiluz , M. San Miguel

We study the coevolutionary dynamics of network topology and social complex contagion using a threshold cascade model. Our coevolving threshold model incorporates two mechanisms: the threshold mechanism for the spreading of a minority state…

Physics and Society · Physics 2023-06-16 Byungjoon Min , Maxi San Miguel

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different…

Mathematical Physics · Physics 2012-09-13 Geoffroy Hermann , Jonathan Touboul

We model recruitment in adaptive social networks in the presence of birth and death processes. Recruitment is characterized by nodes changing their status to that of the recruiting class as a result of contact with recruiting nodes. Only a…

Populations and Evolution · Quantitative Biology 2012-07-20 Maxim S. Shkarayev , Ira B. Schwartz , Leah B. Shaw

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

Brain networks are adaptively rewired continually, adjusting their topology to bring about functionality and efficiency in sensory, motor and cognitive tasks. In model neural network architectures, adaptive rewiring generates complex,…

Neurons and Cognition · Quantitative Biology 2022-01-05 Ilias Rentzeperis , Steeve Laquitaine , Cees van Leeuwen

The spontaneous formation and subsequent growth, dissolution, merger and competition of social groups bears similarities to physical phase transitions in metastable finite systems. We examine three different scenarios, percolation, spinodal…

Physics and Society · Physics 2022-09-22 Frank Schweitzer , Georges Andres

In this work, we study the topological transition on the associated networks in a model proposed by Saeedian et al. (Scientific Reports 2019 9:9726), which considers a coupled dynamics of node and link states. Our goal was to better…

Physics and Society · Physics 2022-04-05 Paulo Freitas Gomes , Henrique Almeida Fernandes , Ariadne de Andrade Costa

We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer
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