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Leader election is a fundamental problem in distributed computing, particularly within programmable matter systems, where coordination among simple computational entities is crucial for solving complex tasks. In these systems, particles…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-10 Jérémie Chalopin , Shantanu Das , Maria Kokkou

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

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

It was suggested that a programmable matter system (composed of multiple computationally weak mobile particles) should remain connected at all times since otherwise, reconnection is difficult and may be impossible. At the same time, it was…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-03 Fabien Dufoulon , Shay Kutten , William K. Moses

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi

We consider programmable matter consisting of simple computational elements, called particles, that can establish and release bonds and can actively move in a self-organized way, and we investigate the feasibility of solving fundamental…

Emerging Technologies · Computer Science 2016-04-01 Joshua J. Daymude , Zahra Derakhshandeh , Robert Gmyr , Thim Strothmann , Rida Bazzi , Andréa W. Richa , Christian Scheideler

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Lélia Blin , Laurent Feuilloley , Gabriel Le Bouder

This paper focuses on compact deterministic self-stabilizing solutions for the leader election problem. When the protocol is required to be \emph{silent} (i.e., when communication content remains fixed from some point in time during any…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-21 Lélia Blin , Sébastien Tixeuil

Addressing a fundamental problem in programmable matter, we present the first deterministic algorithm to elect a unique leader in a system of connected amoebots assuming only that amoebots are initially contracted. Previous algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-03 Yuval Emek , Shay Kutten , Ron Lavi , William K. Moses

The context of this paper is programmable matter, which consists of a set of computational elements, called particles, in an infinite graph. The considered infinite graphs are the square, triangular and king grids. Each particle occupies…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-30 Nicolas Gastineau , Wahabou Abdou , Nader Mbarek , Olivier Togni

In this paper, we present two deterministic leader election algorithms for programmable matter on the face-centered cubic grid. The face-centered cubic grid is a 3-dimensional 12-regular infinite grid that represents an optimal way to pack…

Discrete Mathematics · Computer Science 2020-10-20 Nicolas Gastineau , Wahabou Abdou , Nader Mbarek , Olivier Togni

This paper presents a randomized self-stabilizing algorithm that elects a leader $r$ in a general $n$-node undirected graph and constructs a spanning tree $T$ rooted at $r$. The algorithm works under the synchronous message passing network…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-13 Xavier Défago , Yuval Emek , Shay Kutten , Toshimitsu Masuzawa , Yasumasa Tamura

Over three decades of scientific endeavors to realize programmable matter, a substance that can change its physical properties based on user input or responses to its environment, there have been many advances in both the engineering of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-18 Joseph L. Briones , Tishya Chhabra , Joshua J. Daymude , Andréa W. Richa

We present a self-stabilizing leader election algorithm for arbitrary networks, with space-complexity $O(\max\{\log \Delta, \log \log n\})$ bits per node in $n$-node networks with maximum degree~$\Delta$. This space complexity is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Lélia Blin , Sébastien Tixeuil

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

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

Data Structures and Algorithms · Computer Science 2009-04-20 Toshimitsu Masuzawa , Sébastien Tixeuil

We present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser

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

In this paper, we resolve a long-standing question in self-stabilization by demonstrating that it is indeed possible to construct a spanning tree in a semi-uniform network using constant memory per node. We introduce a self-stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Lélia Blin , Franck Petit , Sébastien Tixeuil

We consider the leader election problem in population protocol models. In pragmatic settings of population protocols, self-stabilization is a highly desired feature owing to its fault resilience and the benefit of initialization freedom.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-21 Yuichi Sudo , Ryota Eguchi , Taisuke Izumi , Toshimitsu Masuzawa
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