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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

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

The concept of programmable matter envisions a very large number of tiny and simple robot particles forming a smart material. Even though the particles are restricted to local communication, local movement, and simple computation, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Irina Kostitsyna , Tom Peters , Bettina Speckmann

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

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

Individual modules of programmable matter participate in their system's collective behavior by expending energy to perform actions. However, not all modules may have access to the external energy source powering the system, necessitating a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-09 Jamison W. Weber , Tishya Chhabra , Andréa W. Richa , Joshua J. Daymude

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

The problem of electing a unique leader is central to all distributed systems, including programmable matter systems where particles have constant size memory. In this paper, we present a silent self-stabilising, deterministic, stationary,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-08 Jérémie Chalopin , Shantanu Das , Maria Kokkou

The amoebot model abstracts active programmable matter as a collection of simple computational elements called amoebots that interact locally to collectively achieve tasks of coordination and movement. Since its introduction at SPAA 2014, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Joshua J. Daymude , Andréa W. Richa , Christian Scheideler

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 envision programmable matter as a system of nano-scale agents (called particles) with very limited computational capabilities that move and compute collectively to achieve a desired goal. We use the geometric amoebot model as our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-15 Joshua J. Daymude , Robert Gmyr , Kristian Hinnenthal , Irina Kostitsyna , Christian Scheideler , Andréa W. Richa

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

Programmable matter (PM) is a form of matter capable of dynamically altering its physical properties, such as shape or density, through programmable means. From a robotics perspective, PM can be realized as a distributed system consisting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

The decomposition of complex structures into simpler substructures is a powerful technique with a wide range of applications. We study the computation of decompositions in the context of programmable matter. The amoebot model is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-20 Henning Hillebrandt , Andreas Padalkin , Christian Scheideler , Daniel Warner , Julian Werthmann

Shape formation is a basic distributed problem for systems of computational mobile entities. Intensively studied for systems of autonomous mobile robots, it has recently been investigated in the realm of programmable matter. Namely, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

We consider an extension to the geometric amoebot model that allows amoebots to form so-called \emph{circuits}. Given a connected amoebot structure, a circuit is a subgraph formed by the amoebots that permits the instant transmission of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-12 Michael Feldmann , Andreas Padalkin , Christian Scheideler , Shlomi Dolev

Assembly of large scale structural systems in space is understood as critical to serving applications that cannot be deployed from a single launch. Recent literature proposes the use of discrete modular structures for in-space assembly and…

Multiagent Systems · Computer Science 2020-08-28 Allan Costa , Benjamin Jenett , Irina Kostitsyna , Amira Abdel-Rahman , Neil Gershenfeld , Kenneth Cheung

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

In programmable matter, we consider a large number of tiny, primitive computational entities called particles that run distributed algorithms to control global properties of the particle structure. Shape formation problems, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-29 Matthias Artmann , Andreas Padalkin , Christian Scheideler
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