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Related papers: Optimal epidemic dissemination

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We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

This paper concerns designing distributed algorithms that are {\em singularly optimal}, i.e., algorithms that are {\em simultaneously} time and message {\em optimal}, for the fundamental leader election problem in {\em asynchronous}…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-13 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

This paper revisits the study of (minimum) broadcast graphs, i.e., graphs enabling fast information dissemination from every source node to all the other nodes (and having minimum number of edges for this property). This study is performed…

Data Structures and Algorithms · Computer Science 2025-03-07 Pierre Fraigniaud , Hovhannes A. Harutyunyan

The burst in the use of online social networks over the last decade has provided evidence that current rumor spreading models miss some fundamental ingredients in order to reproduce how information is disseminated. In particular, recent…

Physics and Society · Physics 2013-04-02 Javier Borge-Holthoefer , Sandro Meloni , Bruno Gonçalves , Yamir Moreno

Cellular networks are overloaded due to the mobile traffic surge, and mobile social network (MSNets) carrying information flow can help reduce cellular traffic load. If geographically-nearby users directly adopt WiFi or Bluetooth technology…

Information Theory · Computer Science 2014-11-26 Wenxiang Dong , Jie Chen , Ying Yang , Wenyi Zhang

In distributed environments, such as distributed ledgers technologies and other peer-to-peer architectures, communication represents a crucial topic. The ability to efficiently disseminate contents is strongly influenced by the type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-15 Luca Serena , Mirko Zichichi , Gabriele D'Angelo , Stefano Ferretti

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers the questions posed in Tr\"aff (2022). The problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-03 Jesper Larsson Träff

The CONGEST and CONGEST-CLIQUE models have been carefully studied to represent situations where the communication bandwidth between processors in a network is severely limited. Messages of only $O(log(n))$ bits of information each may be…

Spreading models capture key dynamics on networks, such as cascading failures in economic systems, (mis)information diffusion, and pathogen transmission. Here, we focus on design intervention problems -- for example, designing optimal…

Social and Information Networks · Computer Science 2025-09-29 Erik Weis , Laurent Hébert-Dufresne , Jean-Gabriel Young

We introduce the generalized rumor spreading model and investigate some properties of this model on different complex social networks. Despite pervious rumor models that both the spreader-spreader ($SS$) and the spreader-stifler ($SR$)…

Physics and Society · Physics 2013-03-26 Yaghoob Naimi , Mohammad Naimi

Studies on the propagation of malware in mobile networks have revealed that the spread of malware can be highly inhomogeneous. Platform diversity, contact list utilization by the malware, clustering in the network structure, etc. can also…

Cryptography and Security · Computer Science 2018-09-06 Soheil Eshghi , MHR. Khouzani , Saswati Sarkar , Santosh S. Venkatesh

We consider the so-called Independent Cascade Model for rumor spreading or epidemic processes popularized by Kempe et al.\ [2003]. In this model, a small subset of nodes from a network are the source of a rumor. In discrete time steps, each…

Social and Information Networks · Computer Science 2022-05-25 Petra Berenbrink , Max Hahn-Klimroth , Dominik Kaaser , Lena Krieg , Malin Rau

Consider that there are $k\le n$ agents in a simple, connected, and undirected graph $G=(V,E)$ with $n$ nodes and $m$ edges. The goal of the dispersion problem is to move these $k$ agents to mutually distinct nodes. Agents can communicate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We consider the LOCAL model of distributed computing, where in a single round of communication each node can send to each of its neighbors a message of an arbitrary size. It is know that, classically, the round complexity of 3-coloring an…

Quantum Physics · Physics 2022-12-07 François Le Gall , Ansis Rosmanis

We consider a class of spreading processes on networks, which generalize commonly used epidemic models such as the SIR model or the SIS model with a bounded number of re-infections. We analyse the related problem of inference of the…

Disordered Systems and Neural Networks · Physics 2024-07-22 D. Ghio , A. L. M. Aragon , I. Biazzo , L. Zdeborova

Consensus is one of the most thoroughly studied problems in distributed computing, yet there are still complexity gaps that have not been bridged for decades. In particular, in the classical message-passing setting with processes' crashes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

We consider unknown ad-hoc radio networks, when the underlying network is bidirectional and nodes can have polynomially large labels. For this model, we present a deterministic protocol for gossiping which takes $O(n \lg^2 n \lg \lg n)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-04 Shailesh Vaya

We develop an analytical model of information dissemination for a gossiping protocol that combines both pull and push approaches. With this model we analyse how fast an item is replicated through a network, and how fast the item spreads in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-11 Rena Bakhshi , Daniela Gavidia , Wan Fokkink , Maarten van Steen

We study the wake-up problem in distributed networks, where an adversary awakens a subset of nodes at arbitrary times, and the goal is to wake up all other nodes as quickly as possible by sending only few messages. We prove the following…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Peter Robinson , Ming Ming Tan
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