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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

Herman's algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics of the protocol very difficult to analyze. In this paper we…

Data Structures and Algorithms · Computer Science 2011-04-18 Stefan Kiefer , Andrzej Murawski , Joël Ouaknine , James Worrell , Lijun Zhang

Population protocols are a model of computation in which indistinguishable mobile agents interact in pairs to decide a property of their initial configuration. Originally introduced by Angluin et. al. in 2004 with a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-09 Philipp Czerner , Vincent Fischer , Roland Guttenberg

Population protocols are a model of computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs. The goal of the agents is to decide by stable consensus whether their initial global configuration…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Philipp Czerner , Javier Esparza , Jérôme Leroux

This paper gives the first separation of quantum and classical pure (i.e., non-cryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of a celebrated…

Quantum Physics · Physics 2012-10-10 Seiichiro Tani , Hirotada Kobayashi , Keiji Matsumoto

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

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 revisit the classic problem of spreading a piece of information in a group of $n$ fully connected processors. By suitably adding a small dose of randomness to the protocol of Gasienic and Pelc (1996), we derive for the first time…

Data Structures and Algorithms · Computer Science 2015-01-06 Benjamin Doerr , Carola Doerr , Shay Moran , Shlomo Moran

In this brief paper, a new consensus protocol based on the sign of innovations is proposed. Based on this protocol each agent only requires single-bit of information about its relative state to its neighboring agents. This is significant in…

Systems and Control · Electrical Eng. & Systems 2020-01-03 Mohammadreza Doostmohammadian

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

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We consider the problem of computing a perfect matching problem in a synchronous distributed network, where the network topology corresponds to a complete bipartite graph. The communication between nodes is restricted to activating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-09 Hugo Mirault , Peter Robinson , Ming Ming Tan , Xianbin Zhu

Distance-2-Dispersion (D-2-D) problem aims to disperse $k$ mobile agents starting from an arbitrary initial configuration on an anonymous port-labeled graph $G$ with $n$ nodes such that no two agents occupy adjacent nodes in the final…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-12 Tanvir Kaur , Barun Gorain , Kaushik Mondal

We study a simple random process that computes a maximal independent set (MIS) on a general $n$-vertex graph. Each vertex has a binary state, black or white, where black indicates inclusion into the MIS. The vertex states are arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 George Giakkoupis , Isabella Ziccardi

Population protocols are a model of distributed computation in which finite-state agents interact randomly in pairs. A protocol decides for any initial configuration whether it satisfies a fixed property, specified as a predicate on the set…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-15 Philipp Czerner

We study the performance of a network of agents tasked with tracking an external unknown signal in the presence of stochastic disturbances and under the condition that only a limited subset of agents, known as leaders, can measure the…

Optimization and Control · Mathematics 2015-06-16 Katherine E. Fitch , Naomi Ehrich Leonard

This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Miguel A. Trujillo , Rodrigo Aldana-López , David Gomez Gutierrez , Michael Defoort , Javier Ruiz Leon , Hector M. Becerra

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

The leader election task calls for all nodes of a network to agree on a single node. If the nodes of the network are anonymous, the task of leader election is formulated as follows: every node $v$ of the network must output a simple path,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Christian Glacet , Avery Miller , Andrzej Pelc

This paper considers distributed computing on an anonymous quantum network, a network in which no party has a unique identifier and quantum communication and computation are available. It is proved that the leader election problem can…

Quantum Physics · Physics 2020-06-24 Hirotada Kobayashi , Keiji Matsumoto , Seiichiro Tani