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Related papers: Breaking the log n barrier on rumor spreading

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Gossip algorithms are attractive for in-network processing in sensor networks because they do not require any specialized routing, there is no bottleneck or single point of failure, and they are robust to unreliable wireless network…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Alexandros G. Dimakis , Soummya Kar , Jose M. F. Moura , Michael G. Rabbat , Anna Scaglione

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…

The wide spread of rumors on social media has caused a negative impact on people's daily life, leading to potential panic, fear, and mental health problems for the public. How to debunk rumors as early as possible remains a challenging…

Artificial Intelligence · Computer Science 2024-04-03 Tianrui Liu , Qi Cai , Changxin Xu , Bo Hong , Fanghao Ni , Yuxin Qiao , Tsungwei Yang

We study the dynamics of information (or virus) dissemination by $m$ mobile agents performing independent random walks on an $n$-node grid. We formulate our results in terms of two scenarios: broadcasting and gossiping. In the broadcasting…

Discrete Mathematics · Computer Science 2011-01-26 Alberto Pettarin , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

In this paper we consider a model of spreading information in heterogeneous systems wherein we have two kinds of objects. Some of them are active and others are passive. Active objects can, if they possess information, share it with an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Jacek Cichoń , Zbigniew Goł\eobbiewski , Marcin Kardas , Marek Klonowski , Filip Zagórski

This paper addresses the problem of robust estimation in gossip algorithms over arbitrary communication graphs. Gossip algorithms are fully decentralized, relying only on local neighbor-to-neighbor communication, making them well-suited for…

Machine Learning · Statistics 2026-01-01 Anna Van Elst , Igor Colin , Stephan Clémençon

We consider a decentralized optimization problem, in which $n$ nodes collaborate to optimize a global objective function using local communications only. While many decentralized algorithms focus on \emph{gossip} communications (pairwise…

Optimization and Control · Mathematics 2022-05-31 Hadrien Hendrikx

We study the one-way number-on-the-forehead (NOF) communication complexity of the $k$-layer pointer jumping problem with $n$ vertices per layer. This classic problem, which has connections to many aspects of complexity theory, has seen a…

Computational Complexity · Computer Science 2008-02-21 Joshua Brody , Amit Chakrabarti

Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders and ignorants. Spreaders can become stiflers only after…

Theoreticians have studied distributed algorithms in the radio network model for close to three decades. A significant fraction of this work focuses on lower bounds for basic communication problems such as wake-up (symmetry breaking among…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-29 Calvin Newport

This paper presents gossip algorithms for aggregation tasks that demonstrate both robustness to adversarial corruptions of any order of magnitude and optimality across a substantial range of these corruption levels. Gossip algorithms…

Data Structures and Algorithms · Computer Science 2025-08-19 Bernhard Haeupler , Marc Kaufmann , Raghu Raman Ravi , Ulysse Schaller

Many ad hoc routing protocols are based on some variant of flooding. Despite various optimizations, many routing messages are propagated unnecessarily. We propose a gossiping-based approach, where each node forwards a message with some…

Networking and Internet Architecture · Computer Science 2007-05-23 Zygmunt Haas , Joseph Y. Halpern , Erran L. Li

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

Dispersion of mobile robots over the nodes of an anonymous graph is an important problem and turns out to be a crucial subroutine for designing efficient algorithms for many fundamental graph problems via mobile robots. In this problem,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-28 Rik Banerjee , Manish Kumar , Anisur Rahaman Molla

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

We show how to construct an overlay network of constant degree and diameter $O(\log n)$ in time $O(\log n)$ starting from an arbitrary weakly connected graph. We assume a synchronous communication network in which nodes can send messages to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Thorsten Götte , Kristian Hinnenthal , Christian Scheideler , Julian Werthmann

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

Gossiping is a communication mechanism, used for fast information dissemination in a network, where each node of the network randomly shares its information with the neighboring nodes. To characterize the notion of fastness in the context…

Information Theory · Computer Science 2023-12-27 Priyanka Kaswan , Purbesh Mitra , Arunabh Srivastava , Sennur Ulukus

We present a protocol in the shuffle model of differential privacy (DP) for the \textit{frequency estimation} problem that achieves error $\omega(1)\cdot O(\log n)$, almost matching the central-DP accuracy, with $1+o(1)$ messages per user.…

Cryptography and Security · Computer Science 2022-11-23 Qiyao Luo , Yilei Wang , Ke Yi

The computation of the diameter is one of the most central problems in distributed computation. In the standard CONGEST model, in which two adjacent nodes can exchange $O(\log n)$ bits per round (here $n$ denotes the number of nodes of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 François Le Gall , Frédéric Magniez