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The spread of information has become faster and wider than ever with the advent of social network platforms. The question raised in this study is whether information dissemination in social networks is random or follows a discernible…

Social and Information Networks · Computer Science 2026-03-30 Rozhin Mohammadikian , Parsa Bigdeli , Behrouz Askari , G. Reza Jafari

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Consider the classical problem of information dissemination: one (or more) nodes in a network have some information that they want to distribute to the remainder of the network. In this paper, we study the cost of information dissemination…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Suman Sourav , Peter Robinson , Seth Gilbert

We investigate the problem of spreading information contents in a wireless ad hoc network with mechanisms embracing the peer-to-peer paradigm. In our vision, information dissemination should satisfy the following requirements: (i) it…

Networking and Internet Architecture · Computer Science 2009-01-14 Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore , Chi-Anh La , Pietro Michiardi

Most information spreading models consider that all individuals are identical psychologically. They ignore, for instance, the curiosity level of people, which may indicate that they can be influenced to seek for information given their…

Physics and Society · Physics 2017-06-27 Didier A. Vega-Oliveros , Lilian Berton , Federico Vazquez , Francisco A. Rodrigues

Given a network and a set of vertices called seeds to initially inject information, influence spread is the expected number of vertices that eventually receive the information under a certain stochastic model of information propagation.…

Data Structures and Algorithms · Computer Science 2026-04-16 Kengo Nakamura , Masaaki Nishino

Consider a network of nodes where each node has a message to communicate to all other nodes. For this communication problem, we analyze a gossip based protocol where coded messages are exchanged. This problem was studied by Aoyama and Shah…

Information Theory · Computer Science 2011-12-16 Dinkar Vasudevan , Shrinivas Kudekar

This paper investigates online distributed aggregative games with time-varying cost functions, where agents are interconnected through an unbalanced communication graph. Due to the distributed and noncooperative nature of the game, some…

Computer Science and Game Theory · Computer Science 2025-12-16 Olusola Odeyomi , Tokunbo Ogunfunmi , Adjovi Laba

We propose an SIS competition model describing the propagation of conflicting rumors, such as fake news and its corrections. This simple model captures the interaction between rumor propagation and opinion dynamics, where rumors drive…

Physics and Society · Physics 2026-05-27 Yu Takiguchi , Koji Nemoto

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow between them along the shortest path. Each edge gets some…

Probability · Mathematics 2007-08-06 David J. Aldous , Shankar Bhamidi

Among the vast information available on the web, social media streams capture what people currently pay attention to and how they feel about certain topics. Awareness of such trending topics plays a crucial role in multimedia systems such…

Social and Information Networks · Computer Science 2014-06-17 Tim Althoff , Damian Borth , Jörn Hees , Andreas Dengel

We investigate how the overall response to a piece of information (a story or an article) evolves and relaxes as a function of time in social networks like Reddit, Digg and Youtube. This response or popularity is measured in terms of the…

Social and Information Networks · Computer Science 2014-03-20 Rumi Ghosh , Bernardo A. Huberman

Reliable propagation of information through large networks, e.g., communication networks, social networks or sensor networks is very important in many applications concerning marketing, social networks, and wireless sensor networks.…

Data Structures and Algorithms · Computer Science 2018-05-08 Christian Frey , Andreas Züfle , Tobias Emrich , Matthias Renz

We provide a systematic study of the problem of finding the source of a rumor in a network. We model rumor spreading in a network with a variant of the popular SIR model and then construct an estimator for the rumor source. This estimator…

Machine Learning · Statistics 2010-11-03 Devavrat Shah , Tauhid Zaman

The broadcast operation in distributed systems is used to spread information located at some nodes to all other nodes. This operation is often realized by flooding, where the source nodes send a message containing the information to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Volker Turau

Graph burning is a deterministic, discrete-time process that models how influence or contagion spreads in a graph. Associated to each graph is its burning number, which is a parameter that quantifies how quickly the influence spreads. We…

Combinatorics · Mathematics 2020-09-23 Anthony Bonato

Theoretical computer science plays an important role in the understanding of social networks and their properties. We can model information rippling throughout social networks, or the opinions of social media users for example, using graph…

Discrete Mathematics · Computer Science 2024-06-11 Timothy Horscroft

The paper considers gossip distributed estimation of a (static) distributed random field (a.k.a., large scale unknown parameter vector) observed by sparsely interconnected sensors, each of which only observes a small fraction of the field.…

Information Theory · Computer Science 2015-05-20 Soummya Kar , Jose' M. F. Moura

Push-Pull is a well-studied round-robin rumor spreading protocol defined as follows: initially a node knows a rumor and wants to spread it to all nodes in a network quickly. In each round, every informed node sends the rumor to a random…

Social and Information Networks · Computer Science 2014-10-31 Abbas Mehrabian , Ali Pourmiri