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One of the hallmarks of real networks is their ability to perform increasingly complex tasks as their topology evolves. To explain this, it has been observed that as a network grows certain subsets of the network begin to specialize the…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Leonid Bunimovich , DJ Passey , Dallas Smith , Benjamin Webb

This work proposes to model the space environment as a stochastic dynamic network where each node is a group of objects of a given class, or species, and their relationship is represented by stochastic links. A set of stochastic dynamic…

Dynamical Systems · Mathematics 2025-05-23 Yirui Wang , Pietro De Marchi , Massimiliano Vasile

Evolving network models under a dynamic growth rule which comprises the addition and deletion of nodes are investigated. By adding a node with a probability $P_a$ or deleting a node with the probability $P_d=1-P_a$ at each time step, where…

Physics and Society · Physics 2011-08-09 Ke Deng , Ke Hu , Yi Tang

Food webs are networks describing who is eating whom in an ecological community. By now it is clear that many aspects of food-web structure are reproducible across diverse habitats, yet little is known about the driving force behind this…

Populations and Evolution · Quantitative Biology 2007-05-23 A. G. Rossberg , H. Matsuda , T. Amemiya , K. Itoh

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

Biological Physics · Physics 2012-10-15 Giacomo Albi , Lorenzo Pareschi

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

Adaptation and Self-Organizing Systems · Physics 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

Coevolution between strategy and network structure is established as a means to arrive at optimal conditions for resolving social dilemmas. Yet recent research highlights that the interdependence between networks may be just as important as…

Physics and Society · Physics 2014-04-11 Zhen Wang , Attila Szolnoki , Matjaz Perc

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani

Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model recently proposed to explain the power-law degree distribution…

Statistical Mechanics · Physics 2015-06-15 Michele Starnini , Romualdo Pastor Satorras

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

In this paper, we study instances of complex neural networks, i.e. neural netwo rks with complex topologies. We use Self-Organizing Map neural networks whose n eighbourhood relationships are defined by a complex network, to classify handwr…

Neural and Evolutionary Computing · Computer Science 2007-10-02 Fei Jiang , Hugues Berry , Marc Schoenauer

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

We study how the volatility, node- or link-based, affects the evolution of social networks in simple models. The model describes the competition between order -- promoted by the efforts of agents to coordinate -- and disorder induced by…

Physics and Society · Physics 2009-11-13 Daniele De Martino , Matteo Marsili

The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

Statistical Mechanics · Physics 2009-01-07 Zhen Shao , Hai-jun Zhou

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

We show that, in contrast to classical random graph models, many real-world complex systems -- including a variety of biological regulatory networks and technological networks such as the internet -- spontaneously self-organize to a richly…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. D. MacArthur , J. W. Anderson

We address the problem of how cooperative (altruistic-like) behavior arises in natural and social systems by analyzing an ultimatum game in complex networks. Specifically, three types of players are considered: (a) empathetic, whose…

Physics and Society · Physics 2009-12-18 Roberta Sinatra , Jaime Iranzo , Jesús Gómez-Gardeñes , Luis M. Floría , Vito Latora , Yamir Moreno

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

We develop a model for the evolution of economic entities within a geographical type of framework. On a square symmetry lattice made of three (economic) regions, firms, described by a scalar fitness, are allowed to move, adapt, merge or…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski