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相关论文: Vertex overload breakdown in evolving networks

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Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

Structural analysis in network science is finding the information hidden from the topology structure of complex networks. Many methods have already been proposed in the research on the structural analysis of complex networks to find the…

物理与社会 · 物理学 2024-02-22 Ronghao Deng , Meizhu Li , Qi Zhang

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

统计力学 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

The power of networks manifests itself in a highly non-linear amplification of a number of effects, and their weakness - in propagation of cascading failures. The potential systemic risk effects can be either exacerbated or mitigated,…

分布式、并行与集群计算 · 计算机科学 2013-03-26 Dmitry Zinoviev , Hamid Benbrahim , Greta Meszoely , Dan Stefanescu

We propose a simple model that aims at describing, in a stylized manner, how local breakdowns due unbalances or congestion propagate in real dynamical networks. The model converges to a self-organized critical stationary state in which the…

统计力学 · 物理学 2007-05-23 Ginestra Bianconi , Matteo Marsili

We analyze an idealized model for the transmission or flow of particles, or discrete packets of information, in a weight bearing branching hierarchical 2-D networks, and its variants. The capacities add hierarchically down the clusters.…

统计力学 · 物理学 2015-03-19 Ajay Deep Kachhvah , Neelima Gupte

The Bianconi-Barabasi model of a growing network is revisited. This model, defined by a preferential attachment rule involving both the degrees of the nodes and their intrinsic fitnesses, has the fundamental property to undergo a phase…

统计力学 · 物理学 2015-03-17 C. Godreche , J. M. Luck

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

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

统计力学 · 物理学 2007-05-23 Purusattam Ray

We discuss three related models of scale-free networks with the same degree distribution but different correlation properties. Starting from the Barabasi-Albert construction based on growth and preferential attachment we discuss two other…

统计力学 · 物理学 2009-11-10 R. Xulvi-Brunet , W. Pietsch , I. M. Sokolov

We consider atoms interacting each other through the topological structure of a complex network and investigate lattice vibrations of the system, the quanta of which we call {\em netons} for convenience. The density of neton levels,…

无序系统与神经网络 · 物理学 2007-05-23 Beom Jun Kim , H. Hong , M. Y. Choi

A Markovian model of the evolution of intermittent connections of various classes in a communication network is established and investigated. Any connection evolves in a way which depends only on its class and the state of the network, in…

网络与互联网体系结构 · 计算机科学 2010-08-23 Carl Graham , Philippe Robert

We address the problem of message transfer in a communication network. The network consists of nodes and links, with the nodes lying on a two dimensional lattice. Each node has connections with its nearest neighbours, whereas some special…

统计力学 · 物理学 2007-05-23 Brajendra K. Singh , Neelima M. Gupte

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

物理与社会 · 物理学 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

The existence of inter-dependence between multiple networks imparts an additional scale of complexity to such systems often referred to as `network of networks' (NON). We have investigated the robustness of NONs to random breakdown of their…

物理与社会 · 物理学 2019-01-09 Aradhana Singh , Sitabhra Sinha

We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

网络与互联网体系结构 · 计算机科学 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

组合数学 · 数学 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

物理与社会 · 物理学 2015-07-10 Filippo Radicchi

Many real networks are complex and have power-law vertex degree distribution, short diameter, and high clustering. We analyze the network model based on thresholding of the summed vertex weights, which belongs to the class of networks…

其他凝聚态物理 · 物理学 2007-05-23 Naoki Masuda , Hiroyoshi Miwa , Norio Konno