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Most of the common used models of epidemic spreading allow contaminating many neighbors of a particular node in the network. They are usually analyzed by differential equations on probability vectors. We propose a model of epidemic…

物理与社会 · 物理学 2018-02-14 Wojciech Ganczarek

Spreading of either information or matter can often be treated as a network problem. It can be of great importance to be able to estimate the likelihood that spreading through a network reaches essentially the entire network while still not…

无序系统与神经网络 · 物理学 2009-03-09 Tomas Alarcon , Henrik Jeldtoft Jensen

There is great significance in evaluating a node's Influence ranking in complex networks. Over the years, many researchers have presented different measures for quantifying node interconnectedness within networks. Therefore, this paper…

社会与信息网络 · 计算机科学 2024-08-05 Auwal Tijjani Amshi

How an information spreads throughout a social network is a valuable knowledge sought by many groups such as marketing enterprises and political parties. If they can somehow predict the impact of a given message or manipulate it in order to…

社会与信息网络 · 计算机科学 2015-10-07 Fabricio Olivetti de Franca , Denise Hideko Goya , Claudio Luis de Camargo Penteado

Social networks constitute a new platform for information propagation, but its success is crucially dependent on the choice of spreaders who initiate the spreading of information. In this paper, we remove edges in a network at random and…

物理与社会 · 物理学 2015-08-19 Shenggong Ji , Linyuan Lu , Chi Ho Yeung , Yanqing Hu

The identification of which nodes are optimal seeds for spreading processes on a network is a non-trivial problem that has attracted much interest recently. While activity has mostly focused on non-recurrent type of dynamics, here we…

物理与社会 · 物理学 2020-07-17 Gaël Poux-Médard , Romualdo Pastor-Satorras , Claudio Castellano

Metros (heavy rail transit systems) are integral parts of urban transportation systems. Failures in their operations can have serious impacts on urban mobility, and measuring their robustness is therefore critical. Moreover, as physical…

物理与社会 · 物理学 2015-05-27 Xiangrong Wang , Yakup Koç , Sybil Derrible , Sk Nasir Ahmad , Robert E. Kooij

We introduce a framework for network analysis based on random walks on directed acyclic graphs where the probability of passing through a given node is the key ingredient. We illustrate its use in evaluating the mutual influence of nodes…

物理与社会 · 物理学 2011-10-10 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

Improving the controllability of power networks is crucial as they are highly complex networks operating in synchrony; even minor perturbations can cause desynchronization and instability. To that end, one needs to assess the criticality of…

系统与控制 · 电气工程与系统科学 2025-05-16 MirSaleh Bahavarnia , Muhammad Nadeem , Ahmad F. Taha

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

物理与社会 · 物理学 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

Epidemics have so far been mostly studied in undirected networks. However, many real-world networks, such as the social network Twitter and the WWW networks, upon which information, emotion or malware spreads, are shown to be directed…

物理与社会 · 物理学 2015-06-15 Cong Li , Huijuan Wang , Piet Van Mieghem

We present an analytical approach to calculating the distribution of shortest paths lengths (also called intervertex distances, or geodesic paths) between nodes in unweighted undirected networks. We obtain very accurate results for…

物理与社会 · 物理学 2016-04-20 Sergey Melnik , James P. Gleeson

The focus of this work is on estimation of the in-degree distribution in directed networks from sampling network nodes or edges. A number of sampling schemes are considered, including random sampling with and without replacement, and…

统计方法学 · 统计学 2018-10-03 Nelson Antunes , Shankar Bhamidi , Tianjian Guo , Vladas Pipiras , Bang Wang

Spreading processes represent a very efficient tool to investigate the structural properties of networks and the relative importance of their constituents, and have been widely used to this aim in static networks. Here we consider simple…

物理与社会 · 物理学 2013-09-11 Michele Starnini , Anna Machens , Ciro Cattuto , Alain Barrat , Romualdo Pastor Satorras

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

概率论 · 数学 2014-03-12 Mine Caglar , Ali Devin Sezer

The influence maximization is the problem of finding a set of social network users, called influencers, that can trigger a large cascade of propagation. Influencers are very beneficial to make a marketing campaign goes viral through social…

社会与信息网络 · 计算机科学 2017-08-29 Siwar Jendoubi , Arnaud Martin

Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line…

物理与社会 · 物理学 2016-12-06 Piet Van Mieghem

Whenever possible, the efficacy of a new treatment, such as a drug or behavioral intervention, is investigated by randomly assigning some individuals to a treatment condition and others to a control condition, and comparing the outcomes…

统计方法学 · 统计学 2015-05-04 Patrick C. Staples , Elizabeth L. Ogburn , Jukka-Pekka Onnela

Robust and comprehensive characterization of the topological properties of complex networks requires the adoption of several respective measurements, among which the node degree has special importance. In the present work, we provide an…

物理与社会 · 物理学 2021-10-11 Alexandre Benatti , Luciano da F. Costa

Background: Controlling global epidemics in the real world and accelerating information propagation in the artificial world are of great significance, which have activated an upsurge in the studies on networked spreading dynamics. Lots of…

物理与社会 · 物理学 2012-04-03 Ai-Xiang Cui , Zimo Yang , Tao Zhou
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