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The operability of a network concerns its ability to remain operational, despite possible failures in its links or equipment. One may model the network through a graph to evaluate and increase this operability. Its vertices and edges…

离散数学 · 计算机科学 2022-11-17 Carla Silva Oliveira , Fausto Marques Pinheiro Junior , Jose Andre de Moura Brito

Several real-world systems can be represented as multi-layer complex networks, i.e. in terms of a superposition of various graphs, each related to a different mode of connection between nodes. Hence, the definition of proper mathematical…

物理与社会 · 物理学 2016-10-31 Valerio Gemmetto , Diego Garlaschelli

Nature, technology and society are full of complexity arising from the intricate web of the interactions among the units of the related systems (e.g., proteins, computers, people). Consequently, one of the most successful recent approaches…

物理与社会 · 物理学 2014-05-23 Enys Mones , Lilla Vicsek , Tamás Vicsek

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

物理与社会 · 物理学 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

概率论 · 数学 2015-03-17 Marc Lelarge

Proximity networks are time-varying graphs representing the closeness among humans moving in a physical space. Their properties have been extensively studied in the past decade as they critically affect the behavior of spreading phenomena…

物理与社会 · 物理学 2019-11-28 Fragkiskos Papadopoulos , Marco Antonio Rodríguez Flores

Power electronic interfaced devices progressively enable the increasing provision of flexible operational actions in distribution networks. The feasible flexibility these devices can effectively provide requires estimation and…

系统与控制 · 电气工程与系统科学 2023-08-14 Demetris Chrysostomou , Jose Luis Rueda Torres , Jochen Lorenz Cremer

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

物理与社会 · 物理学 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

Robustness of a distributed computing system is defined as the ability to maintain its performance in the presence of uncertain parameters. Uncertainty is a key problem in heterogeneous (and even homogeneous) distributed computing systems…

分布式、并行与集群计算 · 计算机科学 2020-05-25 Ali Mokhtari , Chavit Denninnart , Mohsen Amini Salehi

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

物理与社会 · 物理学 2007-11-13 Jan Lorenz , Stefano Battiston

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

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

物理与社会 · 物理学 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

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

Spreading (diffusion) of innovations is a stochastic process on social networks. When the key driving mechanism is peer effects (word of mouth), the rate at which the aggregate adoption level increases with time depends strongly on the…

概率论 · 数学 2023-12-12 Gadi Fibich , Tomer Levin

This study provides essential insights into how diffusion processes unfold in complex networks, with a focus on cryptocurrency blockchains and infrastructure networks. The structural properties of these networks, such as hub-dominated,…

统计方法学 · 统计学 2025-10-13 S M Mustaquim , Asim K. Dey , Abhijit Mandal

Improving the understanding of diffusive processes in networks with complex topologies is one of the main challenges of today's complexity science. Each network possesses an intrinsic diffusive potential that depends on its structural…

数据分析、统计与概率 · 物理学 2023-11-02 T. A. Schieber , L. C. Carpi , P. M. Pardalos , C. Masoller , A. Díaz-Guilera , M. G. Ravetti

With great theoretical and practical significance, identifying the node spreading influence of complex network is one of the most promising domains. So far, various topology-based centrality measures have been proposed to identify the node…

物理与社会 · 物理学 2014-08-27 Jian-Hong Lin , Jian-Guo Liu , Qiang Guo

Spreading information through a network of devices is a core activity for most distributed systems. As such, self-stabilizing algorithms implementing information spreading are one of the key building blocks enabling aggregate computing to…

分布式、并行与集群计算 · 计算机科学 2021-02-23 Yuanqiu Mo , Soura Dasgupta , Jacob Beal

The problem of finding optimal set of users for influencing others in the social network has been widely studied. Because it is NP-hard, some heuristics were proposed to find sub-optimal solutions. Still, one of the commonly used assumption…

社会与信息网络 · 计算机科学 2014-11-24 Radosław Michalski , Tomasz Kajdanowicz , Piotr Bródka , Przemysław Kazienko

Recently, there is a surge of interests on heterogeneous information network analysis. As a newly emerging network model, heterogeneous information networks have many unique features (e.g., complex structure and rich semantics) and a number…

信息检索 · 计算机科学 2014-03-31 Yitong Li , Chuan Shi , Philip S. Yu , Qing Chen