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We study the problem of leader selection in leader-follower multi-agent systems that are subject to stochastic disturbances. This problem arises in applications such as vehicle formation control, distributed clock synchronization, and…

Optimization and Control · Mathematics 2014-10-27 Stacy Patterson

A self-stabilizing algorithm for the minimal $\alpha$-dominating set is proposed in this paper. The $\alpha$-domination parameter has not used before in self-stabilization paradigm. Using an arbitrary graph with $n$ nodes and $m$ edges, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Badreddine Benreguia , Hamouma Moumen

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 investigate space-time trade-offs for population protocols in sparse interaction graphs. In complete interaction graphs, optimal space-time trade-offs are known for the leader election and exact majority problems. However, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-19 Joel Rybicki , Jakob Solnerzik , Robin Vacus

We consider programmable matter that consists of computationally limited devices (called particles) that are able to self-organize in order to achieve some collective goal without the need for central control or external intervention. We…

Emerging Technologies · Computer Science 2017-08-08 Joshua J. Daymude , Robert Gmyr , Andrea W. Richa , Christian Scheideler , Thim Strothmann

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

In the study of deterministic distributed algorithms it is commonly assumed that each node has a unique $O(\log n)$-bit identifier. We prove that for a general class of graph problems, local algorithms (constant-time distributed algorithms)…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Mika Göös , Juho Hirvonen , Jukka Suomela

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

A population protocol can be viewed as a sequence of pairwise interactions of $n$ agents (nodes). During one interaction, two agents selected uniformly at random update their states by applying a specified deterministic transition function.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-12 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Peter Kling , Tomasz Radzik

Leader election is one of the basic problems in distributed computing. For anonymous networks, the task of leader election is formulated as follows: every node v of the network must output a simple path, which is coded as a sequence of port…

Data Structures and Algorithms · Computer Science 2016-04-19 Yoann Dieudonné , Andrzej Pelc

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

We study two fundamental communication primitives: broadcasting and leader election in the classical model of multi-hop radio networks with unknown topology and without collision detection mechanisms. It has been known for almost 20 years…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-07 Artur Czumaj , Peter Davies

In content-oblivious computation, n nodes wish to compute a given task over an asynchronous network that suffers from an extremely harsh type of noise, which corrupts the content of all messages across all channels. In a recent work,…

Data Structures and Algorithms · Computer Science 2024-05-07 Fabian Frei , Ran Gelles , Ahmed Ghazy , Alexandre Nolin

The model of population protocols provides a universal platform to study distributed processes driven by pairwise interactions of anonymous agents. While population protocols present an elegant and robust model for randomized distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Adam Gańczorz , Leszek Gąsieniec , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

We present a uniform self-stabilizing algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of an arbitrary positively real-weighted graph. Our algorithm consists in two stages of stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Franck Butelle , Christian Lavault , Marc Bui

We present a loosely-stabilizing phase clock for population protocols. In the population model we are given a system of $n$ identical agents which interact in a sequence of randomly chosen pairs. Our phase clock is leaderless and it…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-03 Petra Berenbrink , Felix Biermeier , Christopher Hahn , Dominik Kaaser

A communication network is said to be "anonymous" if its agents are indistinguishable from each other; it is "dynamic" if its communication links may appear or disappear unpredictably over time. Assuming that each of the $n$ agents of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Giuseppe A. Di Luna , Giovanni Viglietta

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Gregory Schwartzman , Yuichi Sudo

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time.…

Data Structures and Algorithms · Computer Science 2009-09-29 Samuel Bernard , Stéphane Devismes , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil