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A radio network (RN) is a distributed system consisting of $n$ radio stations. We design and analyze two distributed leader election protocols in RN where the number $n$ of radio stations is unknown. The first algorithm runs under the…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

In this paper we explore fundamental problems in randomized communication complexity such as computing Set Intersection on sets of size $k$ and Equality Testing between vectors of length $k$. Sa\u{g}lam and Tardos and Brody et al. showed…

信息论 · 计算机科学 2020-05-21 Dawei Huang , Seth Pettie , Yixiang Zhang , Zhijun Zhang

We propose a self-stabilizing leader election (SS-LE) protocol on ring networks in the population protocol model. Given a rough knowledge $\psi = \lceil \log n \rceil + O(1)$ on the population size $n$, the proposed protocol lets the…

分布式、并行与集群计算 · 计算机科学 2023-05-16 Daisuke Yokota , Yuichi Sudo , Fukuhito Ooshita , Toshimitsu Masuzawa

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…

分布式、并行与集群计算 · 计算机科学 2021-07-28 Thorsten Götte , Kristian Hinnenthal , Christian Scheideler , Julian Werthmann

In this work, we initiate the study of \emph{smoothed analysis} of population protocols. We consider a population protocol model where an adaptive adversary dictates the interactions between agents, but with probability $p$ every such…

分布式、并行与集群计算 · 计算机科学 2021-05-27 Gregory Schwartzman , Yuichi Sudo

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D+\log^2 n)$ time slots, with high probability. In view of the lower-bound $\Omega(D+\log^2 n)$, our algorithm…

分布式、并行与集群计算 · 计算机科学 2017-05-04 Ny Aina Andriambolamalala , Vlady Ravelomanana

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

分布式、并行与集群计算 · 计算机科学 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

In this paper we present a framework for leader election in multi-hop radio networks which yield randomized leader election algorithms taking $O(\text{broadcasting time})$ in expectation, and another which yields algorithms taking fixed…

分布式、并行与集群计算 · 计算机科学 2019-03-19 Artur Czumaj , Peter Davies

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu

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,…

分布式、并行与集群计算 · 计算机科学 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

Given a boolean predicate $\Pi$ on labeled networks (e.g., proper coloring, leader election, etc.), a self-stabilizing algorithm for $\Pi$ is a distributed algorithm that can start from any initial configuration of the network (i.e., every…

分布式、并行与集群计算 · 计算机科学 2023-06-22 Lélia Blin , Laurent Feuilloley , Gabriel Le Bouder

We propose a self-stabilizing leader election protocol on directed rings in the model of population protocols. Given an upper bound $N$ on the population size $n$, the proposed protocol elects a unique leader within $O(nN)$ expected steps…

分布式、并行与集群计算 · 计算机科学 2021-12-15 Daisuke Yokota , Yuichi Sudo , Toshimitsu Masuzawa

We study the problems of leader election and population size counting for population protocols: networks of finite-state anonymous agents that interact randomly under a uniform random scheduler. We show a protocol for leader election that…

分布式、并行与集群计算 · 计算机科学 2018-06-08 Othon Michail , Paul G. Spirakis , Michail Theofilatos

The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

分布式、并行与集群计算 · 计算机科学 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

In the stochastic population protocol model, we are given a connected graph with $n$ nodes, and in every time step, a scheduler samples an edge of the graph uniformly at random and the nodes connected by this edge interact. A fundamental…

分布式、并行与集群计算 · 计算机科学 2023-12-22 Dan Alistarh , Joel Rybicki , Sasha Voitovych

It has been shown that one can design distributed algorithms that are (nearly) singularly optimal, meaning they simultaneously achieve optimal time and message complexity (within polylogarithmic factors), for several fundamental global…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Fabien Dufoulon , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

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…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Peter Robinson , Ming Ming Tan

The standard population protocol model assumes that when two agents interact, each observes the entire state of the other agent. We initiate the study of $\textit{message complexity}$ for population protocols, where the state of an agent is…

分布式、并行与集群计算 · 计算机科学 2021-12-16 Talley Amir , James Aspnes , David Doty , Mahsa Eftekhari , Eric Severson

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

数据结构与算法 · 计算机科学 2018-10-09 Robert Gmyr , Gopal Pandurangan

Radio networks (RN) are distributed systems (\textit{ad hoc networks}) consisting in $n \ge 2$ radio stations. Assuming the number $n$ unknown, two distinct models of RN without collision detection (\textit{no-CD}) are addressed: the model…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana