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Related papers: Optimal epidemic dissemination

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We consider the problem of identifying rumor sources in a network, in which rumor spreading obeys a time-slotted susceptible-infected model. Unlike existing approaches, our proposed algorithm identifies as sources those nodes, which when…

Signal Processing · Electrical Eng. & Systems 2018-10-02 Jiachun Pan , Wenyi Zhang

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

Real life networks are generally modelled as scale free networks. Information diffusion in such networks in decentralised environment is a difficult and resource consuming affair. Gossip algorithms have come up as a good solution to this…

Networking and Internet Architecture · Computer Science 2013-10-23 Ruchir Gupta , Abhijeet C. Maali , Yatindra Nath Singh

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

We study two rumor processes on $\N$, the dynamics of which are related to an SI epidemic model with long range transmission. Both models start with one spreader at site $0$ and ignorants at all the other sites of $\N$, but differ by the…

Probability · Mathematics 2015-06-18 Sandro Gallo , Nancy L. Garcia , Valdivino Vargas Junior , Pablo M. Rodríguez

We revisit the classic broadcast problem, wherein we have $k$ messages, each composed of $O(\log{n})$ bits, distributed arbitrarily across a network. The objective is to broadcast these messages to all nodes in the network. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-22 Shashwat Chandra , Yi-Jun Chang , Michal Dory , Mohsen Ghaffari , Dean Leitersdorf

We show that any randomised Monte Carlo distributed algorithm for the Lov\'asz local lemma requires $\Omega(\log \log n)$ communication rounds, assuming that it finds a correct assignment with high probability. Our result holds even in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-04 Sebastian Brandt , Orr Fischer , Juho Hirvonen , Barbara Keller , Tuomo Lempiäinen , Joel Rybicki , Jukka Suomela , Jara Uitto

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

Data Structures and Algorithms · Computer Science 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

In this paper, we study random gossip processes in communication models that describe the peer-to-peer networking functionality included in standard smartphone operating systems. Random gossip processes spread information through the basic…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-08 Calvin Newport , Alex Weaver

We consider the classical push broadcast process on a large class of sparse random multigraphs that includes random power law graphs and multigraphs. Our analysis shows that for every $\varepsilon>0$, whp $O(\log n)$ rounds are sufficient…

Combinatorics · Mathematics 2014-08-28 Meier Florian , Peter Ueli

The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to decide whether the Hamming distance between their $n$-bit…

Computational Complexity · Computer Science 2009-02-17 Joshua Brody , Amit Chakrabarti

We study how to spread $k$ tokens of information to every node on an $n$-node dynamic network, the edges of which are changing at each round. This basic {\em gossip problem} can be completed in $O(n + k)$ rounds in any static network, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-30 Chinmoy Dutta , Gopal Pandurangan , Rajmohan Rajaraman , Zhifeng Sun , Emanuele Viola

We consider the problem of electing a leader among nodes in a highly dynamic network where the adversary has unbounded capacity to insert and remove nodes (including the leader) from the network and change connectivity at will. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 John Augustine , Tejas Kulkarni , Paresh Nakhe , Peter Robinson

Broadcasting algorithms are of fundamental importance for distributed systems engineering. In this paper we revisit the classical and well-studied push protocol for message broadcasting. Assuming that initially only one node has some piece…

Combinatorics · Mathematics 2009-05-01 Nikolaos Fountoulakis , Anna Huber , Konstantinos Panagiotou

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

We study information gathering in ad-hoc radio networks. Initially, each node of the network has a piece of information called a rumor, and the overall objective is to gather all these rumors in the designated target node. The ad-hoc…

Data Structures and Algorithms · Computer Science 2015-12-08 Marek Chrobak , Kevin P. Costello

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

How to efficiently and reliably spread information in a system is one of the most fundamental problems in distributed computing. Recently, inspired by biological scenarios, several works focused on identifying the minimal communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-23 Amos Korman , Robin Vacus

We study push-pull rumour spreading in ultra-small-world models for social networks where the degrees follow a power-law distribution. In a non-geometric setting, Fountoulakis, Panagiotou and Sauerwald have shown that rumours always spread…

In this work, we formulate and study a data dissemination problem, which can be viewed as a generalization of the index coding problem and of the data exchange problem to networks with an arbitrary topology. We define $r$-solvable networks,…

Information Theory · Computer Science 2015-10-12 Ivo Kubjas , Vitaly Skachek
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