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We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous-time simple random walk on $\mathbb{Z}^d$, with jump rate $D_A$. These particles are called $A$-particles and move…

Probability · Mathematics 2007-05-23 Harry Kesten , Vladas Sidoravicius

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We give a new technique to analyze the stopping time of gossip protocols that are based on random linear network coding (RLNC). Our analysis drastically simplifies, extends and strengthens previous results. We analyze RLNC gossip in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-05 Bernhard Haeupler

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…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

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 consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Manfred Schwarz , Martin Zeiner , Ulrich Schmid

Rumors are rampant in the era of social media. Conversation structures provide valuable clues to differentiate between real and fake claims. However, existing rumor detection methods are either limited to the strict relation of user…

Computation and Language · Computer Science 2021-11-16 Hongzhan Lin , Jing Ma , Mingfei Cheng , Zhiwei Yang , Liangliang Chen , Guang Chen

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

Information Theory · Computer Science 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

Warning Propagation is a combinatorial message passing algorithm that unifies and generalises a wide variety of recursive combinatorial procedures. Special cases include the Unit Clause Propagation and Pure Literal algorithms for…

Combinatorics · Mathematics 2025-08-28 Amin Coja-Oghlan , Oliver Cooley , Mihyun Kang , Joon Lee , Jean B. Ravelomanana

A clustered gossip network is considered in which a source updates its information over time, and end-nodes, organized in clusters through clusterheads, are keeping track of it. The goal for the nodes is to remain as fresh as possible,…

Information Theory · Computer Science 2025-12-16 Irtiza Hasan , Ahmed Arafa

In the following work, we compare the spread of information by word-of-mouth (WOM) to the spread of information through search engines. We assume that the initial acknowledgement of new information derives from social interactions but that…

Social and Information Networks · Computer Science 2014-07-01 Alon Sela , Hila Oved , Irad Ben-Gal

The rapid spread of rumors on social media has posed significant challenges to maintaining public trust and information integrity. Since an information cascade process is essentially a propagation tree, recent rumor detection models…

Social and Information Networks · Computer Science 2025-07-28 Wei Jiang , Tong Chen , Xinyi Gao , Wentao Zhang , Lizhen Cui , Hongzhi Yin

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…

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Joao Barros

This paper focuses on non-asymptotic diffusion time in asynchronous gossip protocols. Asynchronous gossip protocols are designed to perform distributed computation in a network of nodes by randomly exchanging messages on the associated…

Machine Learning · Statistics 2021-11-22 David Picard , Jérôme Fellus , Stéphane Garnier

A communication network is called a radio network if its nodes exchange messages in the following restricted way. First, a send operation performed by a node delivers copies of the same message to all directly reachable nodes. Secondly, a…

Networking and Internet Architecture · Computer Science 2018-01-03 Bogdan S. Chlebus

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

Wireless sensor networks require communication protocols for efficiently propagating data in a distributed fashion. The Trickle algorithm is a popular protocol serving as the basis for many of the current standard communication protocols.…

Networking and Internet Architecture · Computer Science 2015-09-30 Thomas M. M. Meyfroyt , Sem C. Borst , Onno J. Boxma , Dee Denteneer

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

Social and Information Networks · Computer Science 2015-03-20 Sharon Goldberg , Zhenming Liu