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We derive mean-field equations that describe the dynamics of a general model of rumor spreading on complex networks, and use analytical and numerical solutions of these equations to examine the threshold behavior and dynamics of the model…

物理与社会 · 物理学 2007-05-23 Maziar Nekovee , Yamir Moreno , Ginestra Bianconi , Matteo Marsili

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

系统与控制 · 电气工程与系统科学 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

We study the response of an ensemble of synchronized phase oscillators to an external harmonic perturbation applied to one of the oscillators. Our main goal is to relate the propagation of the perturbation signal to the structure of the…

统计力学 · 物理学 2009-11-10 D. H. Zanette

Many systems of scientific interest can be conceptualized as multipartite networks. Examples include the spread of sexually transmitted infections, scientific collaborations, human friendships, product recommendation systems, and metabolic…

物理与社会 · 物理学 2021-03-02 Hyojun A. Lee , Luiz G. A. Alves , Luís A. Nunes Amaral

We consider a discrete-time model of continuous-time distributed optimization over dynamic directed-graphs (digraphs) with applications to distributed learning. Our optimization algorithm works over general strongly connected dynamic…

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

人工智能 · 计算机科学 2015-03-13 Yoshiharu Maeno

Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

概率论 · 数学 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

Broadcasting and convergecasting are pivotal services in distributed systems, in particular, in wireless ad-hoc and sensor networks, which are characterized by time- varying communication graphs. We study the question of whether it is…

分布式、并行与集群计算 · 计算机科学 2017-03-30 Manfred Schwarz , Martin Zeiner , Ulrich Schmid

We study the propagation of information in social networks. To do so, we focus on a cascade model where nodes are infected with {probability $p_1$ after their first contact with the information and with probability $p_2$ at all subsequent…

物理与社会 · 物理学 2009-11-13 C. de Kerchove , G. Krings , R. Lambiotte , V. D. Blondel , P. Van Dooren

The time variation of contacts in a networked system may fundamentally alter the properties of spreading processes and affect the condition for large-scale propagation, as encoded in the epidemic threshold. Despite the great interest in the…

物理与社会 · 物理学 2015-04-14 Eugenio Valdano , Luca Ferreri , Chiara Poletto , Vittoria Colizza

We study the growth of random networks under a constraint that the diameter, defined as the average shortest path length between all nodes, remains approximately constant. We show that if the graph maintains the form of its degree…

统计力学 · 物理学 2007-05-23 Rajan M. Lukose , Lada A. Adamic

Stochastic network influences complicate graph filter design by producing uncertainty in network iteration matrix eigenvalues, the points at which the graph filter response is defined. While joint statistics for the eigenvalues typically…

信号处理 · 电气工程与系统科学 2018-03-01 Stephen Kruzick , José M. F. Moura

The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid…

物理与社会 · 物理学 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

物理与社会 · 物理学 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

社会与信息网络 · 计算机科学 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

In several real-world networks like the Internet, WWW etc., the number of links grow in time in a non-linear fashion. We consider growing networks in which the number of outgoing links is a non-linear function of time but new links between…

统计力学 · 物理学 2009-11-10 Parongama Sen

We study rumor spreading in dynamic random graphs. Starting with a single informed vertex, the information flows until it reaches all the vertices of the graph (completion), according to the following process. At each step $k$, the…

数据结构与算法 · 计算机科学 2025-06-06 Vicenzo Bonasorte

Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

物理与社会 · 物理学 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop paths may not exist and communication routes may only be available…

信息论 · 计算机科学 2009-03-09 Philippe Jacquet , Bernard Mans , Georgios Rodolakis

In this work we address the question of efficiency of distributed computing in anonymous, congested and highly dynamic and not-always-connected networks/systems. More precisely, the system consists of an unknown number of anonymous nodes…

分布式、并行与集群计算 · 计算机科学 2022-02-16 Dariusz R. Kowalski , Miguel A. Mosteiro
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