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Given a connected network, it can be augmented by applying a growing strategy (e.g. random or scale-free rules) over the previously existing structure. Another approach for augmentation, recently introduced, involves incorporating a direct…

统计力学 · 物理学 2007-05-23 Luciano da Fontoura Costa

Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide an exact result showing that a scale-free connectivity distribution with diverging second moment is a sufficient condition…

统计力学 · 物理学 2009-11-07 Marian Boguna , Romualdo Pastor-Satorras , Alessandro Vespignani

We study the evolution of cooperation in the prisoner's dilemma and the snowdrift game on scale-free networks that are subjected to intentional and random removal of vertices. We show that, irrespective of the game type, cooperation on…

物理与社会 · 物理学 2009-08-27 Matjaz Perc

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to…

无序系统与神经网络 · 物理学 2015-05-13 Sergey V. Buldyrev , Roni Parshani , Gerald Paul , H. Eugene Stanley , Shlomo Havlin

Many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. We show that these two features are the consequence of a hierarchical organization, implying that small…

统计力学 · 物理学 2009-11-07 Erzsebet Ravasz , Albert-Laszlo Barabasi

In the real world, the stable operation of a network is usually inseparable from the mutual support of other networks. In such an interdependent network, a node in one layer may depend on multiple nodes in another layer, forming a complex…

社会与信息网络 · 计算机科学 2025-09-30 Cheng Qian , Dandan Zhao , Bo Zhang , Ming Zhong , Jianmin Han , Shenghong Li , Hao Peng , Wei Wang

The design of mechanisms that encourage pro-social behaviours in populations of self-regarding agents is recognised as a major theoretical challenge within several areas of social, life and engineering sciences. When interference from…

计算机科学与博弈论 · 计算机科学 2020-01-27 Theodor Cimpeanu , The Anh Han , Francisco C. Santos

While the statistical and resilience properties of the Internet are no more changing significantly across time, the Darknet, a network devoted to keep anonymous its traffic, still experiences rapid changes to improve the security of its…

物理与社会 · 物理学 2017-04-05 M. De Domenico , A. Arenas

Recently the problem of classes of vulnerable vertices (represented by colors) in complex networks has been discussed, where all vertices with the same vulnerability are prone to fail together. Utilizing redundant paths each avoiding one…

统计力学 · 物理学 2018-12-19 Andrea Kadović , Sebastian M. Krause , Guido Caldarelli , Vinko Zlatić

A growing family of random graphs is called robust if it retains a giant component after percolation with arbitrary positive retention probability. We study robustness for graphs, in which new vertices are given a spatial position on the…

概率论 · 数学 2015-04-08 Emmanuel Jacob , Peter Morters

Modern world builds on the resilience of interdependent infrastructures characterized as complex networks. Recently, a framework for analysis of interdependent networks has been developed to explain the mechanism of resilience in…

物理与社会 · 物理学 2015-06-16 Peng Zhang , Baisong Cheng , Zhuang Zhao , Daqing Li , Guangquan Lu , Yunpeng Wang , Jinghua Xiao

We consider critical phenomena on heterogeneous small-world networks having a scale-free character but also arbitrary short-loops. After deriving the self-consistent equation for the order parameter and the critical surface, we prove that…

无序系统与神经网络 · 物理学 2010-12-14 M. Ostilli , J. F. F. Mendes

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Heterogeneity in the degree distribution is known to suppress global synchronization in complex networks of symmetrically coupled oscillators. Scale-free networks display a great deal of heterogeneity, containing a few nodes, termed hubs,…

混沌动力学 · 物理学 2010-10-11 Tiago Pereira

In a recent work [Proc. Natl. Acad. Sci. USA 108, 3838 (2011)], Schneider et al. proposed a new measure for network robustness and investigated optimal networks with respect to this quantity. For networks with a power-law degree…

物理与社会 · 物理学 2011-08-10 Zhi-Xi Wu , Petter Holme

Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or…

社会与信息网络 · 计算机科学 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism…

数据分析、统计与概率 · 物理学 2009-11-13 Liuhua Zou , Wenjiang Pei , Tao Li , Zhenya He , Yiuming Cheung

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

物理与社会 · 物理学 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

Link failures in supply networks can have catastrophic consequences that can lead to a complete collapse of the network. Strategies to prevent failure spreading are thus heavily sought after. Here, we make use of a spanning tree formulation…

物理与社会 · 物理学 2021-06-09 Franz Kaiser , Dirk Witthaut

We analyze the spreading of viruses in scale-free networks with high clustering and degree correlations, as found in the Internet graph. For the Suscetible-Infected-Susceptible model of epidemics the prevalence undergoes a phase transition…

凝聚态物理 · 物理学 2007-09-23 Victor M. Eguiluz , Konstantin Klemm