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We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with…

物理与社会 · 物理学 2007-10-18 Gourab Ghoshal , M. E. J. Newman

We study the spread of a novel state in a network, in the presence of an exogenous control. The considered controlled evolutionary dynamics is a non-homogeneous Markov process that describes the evolution of the states of all nodes in the…

系统与控制 · 电气工程与系统科学 2020-06-23 Lorenzo Zino , Giacomo Como , Fabio Fagnani

We use a generalised version of the individual-based Tangled Nature model of evolutionary ecology to study the relationship between ecosystem structure and evolutionary history. Our evolved model ecosystems typically exhibit interaction…

种群与进化 · 定量生物学 2007-05-23 Simon Laird , Henrik Jeldtoft Jensen

We consider a model in which agents of different species move over a complex network, are subject to reproduction and compete for resources. The complementary roles of competition and diffusion produce a variety of fixed points, whose…

物理与社会 · 物理学 2011-06-21 V. Nicosia , F. Bagnoli , V. Latora

We introduce the Webworld model, which links together the ecological modelling of food web structure with the evolutionary modelling of speciation and extinction events. The model describes dynamics of ecological communities on an…

adap-org · 物理学 2007-05-23 Guido Caldarelli , Paul G. Higgs , Alan J. McKane

A rank-dependent deactivation mechanism is introduced to network evolution. The growth dynamics of the network is based on a finite memory of individuals, which is implemented by deactivating one site at each time step. The model shows…

物理与社会 · 物理学 2015-05-14 Xin-Jian Xu , Ming-Chen Zhou

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

物理与社会 · 物理学 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

统计力学 · 物理学 2009-10-31 Frantisek Slanina , Miroslav Kotrla

Connectivity correlations play an important role in the structure of scale-free networks. While several empirical studies exist, there is no general theoretical analysis that can explain the largely varying behavior of real networks. Here,…

物理与社会 · 物理学 2009-11-13 Lazaros K. Gallos , Chaoming Song , Hernan A. Makse

We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

统计力学 · 物理学 2007-09-14 Henrik Jeldtot Jensen

Understanding the structure and evolution of online bipartite networks is a significant task since they play a crucial role in various e-commerce services nowadays. Recently, various attempts have been tried to propose different models,…

物理与社会 · 物理学 2015-06-11 C. -X. Zhang , Z. -K. Zhang , C. Liu

In multi-class communication networks, traffic surges due to one class of users can significantly degrade the performance for other classes. During these transient periods, it is thus of crucial importance to implement priority mechanisms…

性能 · 计算机科学 2011-12-12 Mathieu Feuillet , Matthieu Jonckheere , Balakrishna J. Prabhu

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…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

In this work, a growing network model that can generate a random network with finite degree in infinite time is studied. The dynamics are governed by a rule where the degree increases under a scheme similar to the Malthus-Verhulst model in…

物理与社会 · 物理学 2016-05-09 M. O. Hase , H. L. Casa Grande

We present here a study of the clustering and cycles in the graph of Internet at the Autonomous Systems level. We show that,even if the whole structure is changing with time, the statistical distributions of loops of order 3,4,5 remain…

无序系统与神经网络 · 物理学 2016-08-31 Ginestra Bianconi , Guido Caldarelli , Andrea Capocci

Many complex networks from the World-Wide-Web to biological networks are growing taking into account the heterogeneous features of the nodes. The feature of a node might be a discrete quantity such as a classification of a URL document as…

物理与社会 · 物理学 2013-05-30 Luca Ferretti , Michele Cortelezzi , Bin Yang , Giacomo Marmorini , Ginestra Bianconi

We introduce a family of one-dimensional geometric growth models, constructed iteratively by locally optimizing the tradeoffs between two competing metrics, and show that this family is equivalent to a family of preferential attachment…

无序系统与神经网络 · 物理学 2007-05-23 N. Berger , C. Borgs , J. T. Chayes , R. M. D'Souza , R. D. Kleinberg

We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document transfers. We study critical fluid models obtained as formal…

概率论 · 数学 2016-09-07 F. P. Kelly , R. J. Williams

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

统计力学 · 物理学 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

统计力学 · 物理学 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas