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We consider the Relative-Majority Problem (also known as Plurality), in which, given a multi-agent system where each agent is initially provided an input value out of a set of $k$ possible ones, each agent is required to eventually compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Emanuele Natale , Iliad Ramezani

We consider the population protocol model where indistinguishable state machines, referred to as agents, communicate in pairs. The communication graph specifies potential interactions (\ie communication) between agent pairs. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Haruki Kanaya , Yuichi Sudo

We give a simple characterization of the functions that can be computed deterministically by anonymous processes in dynamic networks, depending on the number of leaders in the network. In addition, we provide efficient distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Giuseppe A. Di Luna , Giovanni Viglietta

We study the fixation time of the identity of the leader, i.e., the most massive component, in the general setting of Aldous's multiplicative coalescent [4, 5], which in an asymptotic sense describes the evolution of the component sizes of…

Probability · Mathematics 2020-05-28 Louigi Addario-Berry , Shankar Bhamidi , Sanchayan Sen

In majority voting dynamics, a group of $n$ agents in a social network are asked for their preferred candidate in a future election between two possible choices. At each time step, a new poll is taken, and each agent adjusts their vote…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Diego Maldonado , Pedro Montealegre , Martín Ríos-Wilson , Guillaume Theyssier

Leader election is a basic symmetry breaking problem in distributed computing. All nodes of a network have to agree on a single node, called the leader. If the nodes of the network have distinct labels, then agreeing on a single node means…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 Barun Gorain , Andrzej Pelc

The content-oblivious model, introduced by Censor-Hillel, Cohen, Gelles, and Sel (PODC 2022; Distributed Computing 2023), captures an extremely weak form of communication where nodes can only send asynchronous, content-less pulses.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Yi-Jun Chang , Lyuting Chen , Haoran Zhou

For nearly two decades, population protocols have been extensively studied, yielding efficient solutions for central problems in distributed computing, including leader election, and majority computation, a predicate type in Presburger…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Leszek Gąsieniec , Tytus Grodzicki , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

We consider the problem of efficiently simulating population protocols. In the population model, we are given a distributed system of $n$ agents modeled as identical finite-state machines. In each time step, a pair of agents is selected…

Data Structures and Algorithms · Computer Science 2020-05-08 Petra Berenbrink , David Hammer , Dominik Kaaser , Ulrich Meyer , Manuel Penschuck , Hung Tran

Censor-Hillel, Cohen, Gelles, and Sela (PODC 2022 & Distributed Computing 2023) studied fully-defective asynchronous networks, where communication channels may suffer an extreme form of alteration errors, rendering messages completely…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-20 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

This paper considers the basic $\mathcal{PULL}$ model of communication, in which in each round, each agent extracts information from few randomly chosen agents. We seek to identify the smallest amount of information revealed in each…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Lucas Boczkowski , Amos Korman , Emanuele Natale

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

The Beeping Network (BN) model captures important properties of biological processes. Paradoxically, the extremely limited communication capabilities of such nodes has helped BN become one of the fundamental models for networks. Since in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Pawel Garncarek , Dariusz R. Kowalski , Shay Kutten , Miguel A. Mosteiro

In many applications of multi-agent systems (MAS), a set of leader agents acts as a control input to the remaining follower agents. In this paper, we introduce an analytical approach to selecting leader agents in order to minimize the total…

Systems and Control · Computer Science 2012-08-07 Andrew Clark , Linda Bushnell , Radha Poovendran

In this paper, we present two self-stabilizing algorithms that enable a single (mobile) agent to explore graphs. Starting from any initial configuration, \ie regardless of the initial states of the agent and all nodes, as well as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Yuichi Sudo , Fukuhito Ooshita , Sayaka Kamei

We are interested in assigning a pre-specified number of nodes as leaders in order to minimize the mean-square deviation from consensus in stochastically forced networks. This problem arises in several applications including control of…

Optimization and Control · Mathematics 2014-12-11 Fu Lin , Makan Fardad , Mihailo R. Jovanović

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

We address the Leader Election (LE) problem in networks of anonymous sensors sharing no kind of common coordinate system. Leader Election is a fundamental symmetry breaking problem in distributed computing. Its goal is to assign value 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-22 Yoann dieudonné , Florence Levé , Franck Petit , Vincent Villain

This paper considers a localized data-driven consensus problem for leader-follower multi-agent systems with unknown discrete-time agent dynamics, where each follower computes its local control gain using only their locally collected state…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Zeze Chang , Junjie Jiao , Zhongkui Li
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