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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

We study the coevolution of network structure and signaling behavior. We model agents who can preferentially associate with others in a dynamic network while they also learn to play a simple sender-receiver game. We have four major…

Social and Information Networks · Computer Science 2024-01-15 Zachary Fulker , Patrick Forber , Rory Smead , Christoph Riedl

Networks are widely used to model the interaction between individual dynamical systems. In many instances, the total number of units as well as the interaction coupling are not fixed in time, but rather constantly evolve. In terms of…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Melvyn Tyloo

The rich set of interactions between individuals in the society results in complex community structure, capturing highly connected circles of friends, families, or professional cliques in a social network. Thanks to frequent changes in the…

Methodology · Statistics 2007-12-12 Gergely Palla , Albert-Laszlo Barabasi , Tamas Vicsek

Topology and weights are closely related in weighted complex networks and this is reflected in their modular structure. We present a simple network model where the weights are generated dynamically and they shape the developing topology. By…

Physics and Society · Physics 2008-01-30 J. M. Kumpula , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Communities are not static; they evolve, split and merge, appear and disappear, i.e. they are product of dynamical processes that govern the evolution of the network. A good algorithm for community detection should not only quantify the…

Physics and Society · Physics 2011-11-24 Angel Stanoev , Daniel Smilkov , Ljupco Kocarev

The study of community networks has attracted considerable attention recently. In this paper, we propose an evolving community network model based on local processes, the addition of new nodes intra-community and new links intra- or…

Physics and Society · Physics 2009-11-13 Xin-Jian Xu , Xun Zhang , J. F. F. Mendes

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local…

Physics and Society · Physics 2009-11-13 Zhen Shao , Haijun Zhou

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

Natural systems are modeled by networks with nodes and links. Often the nodes are segregated into communities with different connectivity patterns. Node heterogeneity such as political affiliation in social networks or biological function…

Physics and Society · Physics 2025-07-01 Alexei Vazquez

We review recent results on the dynamics of social networks which suggest that the interplay between the network formation process and volatility may lead to the occurrence of discontinuous phase transitions and phase coexistence in a large…

Physics and Society · Physics 2009-11-11 George C. M. A. Ehrhardt , Matteo Marsili , Fernando Vega-Redondo

In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

Disordered Systems and Neural Networks · Physics 2011-05-16 Markus Brede

Mutualistic networks are formed when the interactions between two classes of species are mutually beneficial. They are important examples of cooperation shaped by evolution. Mutualism between animals and plants plays a key role in the…

Populations and Evolution · Quantitative Biology 2013-08-23 Samir Suweis , Filippo Simini , Jayanth R. Banavar , Amos Maritan

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at…

Physics and Society · Physics 2015-09-14 Marina Diakonova , Victor M. Eguiluz , Maxi San Miguel

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

Adaptation and Self-Organizing Systems · Physics 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

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

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

Statistical Mechanics · Physics 2007-05-23 Min Liu , Kevin E. Bassler