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Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

社会与信息网络 · 计算机科学 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

We study the robustness properties of multiplex networks consisting of multiple layers of distinct types of links, focusing on the role of correlations between degrees of a node in different layers. We use generating function formalism to…

物理与社会 · 物理学 2014-05-02 Byungjoon Min , Su Do Yi , Kyu-Min Lee , K. -I. Goh

The capability of a network to cope with threats and survive attacks is referred to as its robustness. This paper discusses one kind of robustness, commonly denoted structural robustness, which increases when the spectral radius of the…

数值分析 · 数学 2021-10-06 Silvia Noschese , Lothar Reichel

We develop a methodology for analyzing the percolation phenomena of two mutually coupled (interdependent) networks based on the cavity method of statistical mechanics. In particular, we take into account the influence of degree-degree…

无序系统与神经网络 · 物理学 2014-02-11 Shunsuke Watanabe , Yoshiyuki Kabashima

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

物理与社会 · 物理学 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

Network-based intervention strategies can be effective and cost-efficient approaches to curtailing harmful contagions in myriad settings. As studied, these strategies are often impractical to implement, as they typically assume complete…

Cascading failures and epidemic dynamics, as two successful application realms of network science, are usually investigated separately. How do they affect each other is still one open, interesting problem. In this letter, we couple both…

社会与信息网络 · 计算机科学 2016-11-23 Dawei Zhao , Zhen Wang , Gaoxi Xiao , Bo Gao , Lianhai Wang

The percolation properties of clustered networks are analyzed in detail. In the case of weak clustering, we present an analytical approach that allows to find the critical threshold and the size of the giant component. Numerical simulations…

无序系统与神经网络 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna

We propose a new method to immunize populations or computer networks against epidemics which is more efficient than any method considered before. The novelty of our method resides in the way of determining the immunization targets. First we…

物理与社会 · 物理学 2015-06-03 Christian M. Schneider , Tamara Mihaljev , Hans J. Herrmann

We present an effective immunization strategy for computer networks and populations with broad and, in particular, scale-free degree distributions. The proposed strategy, acquaintance immunization, calls for the immunization of random…

无序系统与神经网络 · 物理学 2007-05-23 Reuven Cohen , Shlomo Havlin , Daniel ben-Avraham

Clustering network is one of which complex network attracting plenty of scholars to discuss and study the structures and cascading process. We primarily analyzed the effect of clustering coefficient to other various of the single clustering…

物理与社会 · 物理学 2016-10-18 Gaogao Dong , Huifang Hao , Ruijin Du , Shuai Shao , H. Eugene. Stanley , Havlin Shlomo

Inspired by the structure of technological networks, we discuss network evolution mechanisms which give rise to topological properties found in real spatial networks. Thus, the peculiar structure of transport and distribution networks is…

物理与社会 · 物理学 2009-11-13 R. Xulvi-Brunet , I. M. Sokolov

In this paper, we study the robustness of network topologies. We use the concept of percolation as measuring tool to assess the reliability polynomial of those systems which can be modeled as a general inhomogeneous random graph as well as…

统计理论 · 数学 2017-11-02 Farkhondeh A. Sajadi

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

The propagation of model epidemics on a small-world network under the action of immunization is studied. Although the connectivity in this kind of networks is rather uniform, a vaccination strategy focused on the best connected individuals…

统计力学 · 物理学 2009-11-07 Damian H. Zanette , Marcelo Kuperman

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

信息论 · 计算机科学 2016-11-17 Rahul Vaze

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

物理与社会 · 物理学 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi

In this work, we propose an interdependent, multilayer network model and percolation process that matches infrastructures better than previous models by allowing some nodes to survive when their interdependent neighbors fail. We consider a…

适应与自组织系统 · 物理学 2017-10-04 Run-Ran Liu , Daniel A. Eisenberg , Thomas P. Seager , Ying-Cheng Lai

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for…

统计力学 · 物理学 2009-11-10 L. M. Sander , C. P. Warren , I. M. Sokolov