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In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

Social and Information Networks · Computer Science 2015-11-23 Natarajan Meghanathan

In this paper we propose a deterministic mathematical model that attempts to explain the propagation of a rumor using SIRS type epidemiological models with temporary immunity and nonlinear incidence rate. In particular, we speculate about…

Physics and Society · Physics 2017-09-07 René Escalante , Marco Odehnal

We derive the mean-field equations characterizing the dynamics of a rumor process that takes place on top of complex heterogeneous networks. These equations are solved numerically by means of a stochastic approach. First, we present…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Amalio. F. Pacheco

Probabilistic verification problems of neural networks are concerned with formally analysing the output distribution of a neural network under a probability distribution of the inputs. Examples of probabilistic verification problems include…

Machine Learning · Computer Science 2025-07-11 David Boetius , Stefan Leue , Tobias Sutter

The identification of the minimal set of nodes that maximizes the propagation of information is one of the most relevant problems in network science. In this paper, we introduce a new method to find the set of initial spreaders to maximize…

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

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…

Probability · Mathematics 2015-03-17 Marc Lelarge

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

Physics and Society · Physics 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

We study expansion and information diffusion in dynamic networks, that is in networks in which nodes and edges are continuously created and destroyed. We consider information diffusion by {\em flooding}, the process by which, once a node is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Luca Becchetti , Andrea Clementi , Francesco Pasquale , Luca Trevisan , Isabella Ziccardi

Fairness in influence maximization has been a very active research topic recently. Most works in this context study the question of how to find seeding strategies (deterministic or probabilistic) such that nodes or communities in the…

Social and Information Networks · Computer Science 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

Opportunistic mobile networks consisting of intermittently connected mobile devices have been exploited for various applications, such as computational offloading and mitigating cellular traffic load. In contrast to existing work, in this…

Networking and Internet Architecture · Computer Science 2017-03-28 Zongqing Lu , Xiao Sun , Thomas La Porta

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Diffusion on complex networks is often modeled as a stochastic process. Yet, recent work on strategic diffusion emphasizes the decision power of agents and treats diffusion as a strategic problem. Here we study the computational aspects of…

Computational Complexity · Computer Science 2020-01-31 Marcin Waniek , Khaled Elbassioni , Flavio L. Pinheiro , Cesar A. Hidalgo , Aamena Alshamsi

We present a novel heuristic algorithm for routing optimization on complex networks. Previously proposed routing optimization algorithms aim at avoiding or reducing link overload. Our algorithm balances traffic on a network by minimizing…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Current methods of routing are based on network information in the form of routing tables, in which routing protocols determine how to update the tables according to the network changes. Despite the variability of data in routing tables,…

Networking and Internet Architecture · Computer Science 2007-10-11 Mohsen Ravanbakhsh , Yasin Abbasi-Yadkori , Maghsoud Abbaspour , Hamid Sarbazi-Azad

One major function of social networks (e.g., massive online social networks) is the dissemination of information such as scientific knowledge, news, and rumors. Information can be propagated by the users of the network via natural…

Computer Science and Game Theory · Computer Science 2010-08-13 Dmitry Zinoviev , Vy Duong

One major function of social networks (e.g., massive online social networks) is the dissemination of information such as scientific knowledge, news, and rumors. Information can be propagated by the users of the network via natural…

Computer Science and Game Theory · Computer Science 2010-06-30 Dmitry Zinoviev , Vy Duong , Honggang Zhang

In this paper, we extend the information theoretic framework that was developed in earlier work to multi-hop network settings. For a given network, we construct a novel deterministic model that quantifies the ability of the network in…

Information Theory · Computer Science 2015-08-21 Shao-Lun Huang , Changho Suh , Lizhong Zheng

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz