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We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical…

物理与社会 · 物理学 2012-03-08 Guido Caldarelli , Alessandro Chessa , Irene Crimaldi , Fabio Pammolli

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

社会与信息网络 · 计算机科学 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

The phenomenon of human language is widely studied from various points of view. It is interesting not only for social scientists, antropologists or philosophers, but also for those, interesting in the network dynamics. In several recent…

物理与社会 · 物理学 2009-11-13 Maria Markosova

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

统计力学 · 物理学 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

概率论 · 数学 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

Network models with preferential attachment, where new nodes are injected into the network and form links with existing nodes proportional to their current connectivity, have been well studied for some time. Extensions have been introduced…

物理与社会 · 物理学 2013-06-26 James P. Bagrow , Dirk Brockmann

Network theory provides novel concepts that promise an improved characterization of interacting dynamical systems. Within this framework, evolving networks can be considered as being composed of nodes, representing systems, and of…

神经元与认知 · 定量生物学 2014-08-26 Klaus Lehnertz , Gerrit Ansmann , Stephan Bialonski , Henning Dickten , Christian Geier , Stephan Porz

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

社会与信息网络 · 计算机科学 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

The search engine is tightly coupled with social networks and is primarily designed for users to acquire interested information. Specifically, the search engine assists the information dissemination for social networks, i.e., enabling users…

社会与信息网络 · 计算机科学 2017-03-20 Cai Fu , Chenchen Peng , Xiao-Yang Liu

Evolving Neural Networks (NNs) has recently seen an increasing interest as an alternative path that might be more successful. It has many advantages compared to other approaches, such as learning the architecture of the NNs. However, the…

神经与进化计算 · 计算机科学 2022-03-15 Abdullah Khalili , Abdelhamid Bouchachia

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper we focus on networks…

无序系统与神经网络 · 物理学 2017-04-18 Daniel Fraiman , Nicolas Fraiman , Ricardo Fraiman

Links in a practical network may have different functions, which makes the original network a combination of some functional subnetworks. Here, by a model of coupled oscillators, we investigate how such functional subnetworks are evolved…

适应与自组织系统 · 物理学 2015-05-13 Menghui Li , Xingang Wang , Choy-Heng Lai

We define a dynamic model of random networks, where new vertices are connected to old ones with a probability proportional to a sublinear function of their degree. We first give a strong limit law for the empirical degree distribution, and…

概率论 · 数学 2008-07-31 Steffen Dereich , Peter Morters

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

信息论 · 计算机科学 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes…

统计力学 · 物理学 2009-11-07 G. Ergun , G. J. Rodgers

We proposed an evolving network model constituted by the same nodes but different edges. The competition between nodes and different links were introduced. Scale free properties have been found in this model by continuum theory. Different…

统计力学 · 物理学 2013-05-29 Jie Sun , Yizhi Ge , Sheng Li

We model the Internet as a network of interconnected Autonomous Systems which self-organize under an absolute lack of centralized control. Our aim is to capture how the Internet evolves by reproducing the assembly that has led to its actual…

物理与社会 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

Link prediction in complex networks has attracted increasing attention from both physical and computer science communities. The algorithms can be used to extract missing information, identify spurious interactions, evaluate network evolving…

物理与社会 · 物理学 2015-05-20 Linyuan Lu , Tao Zhou