Deterministic Leader Election for Stationary Programmable Matter with Common Direction
Jérémie Chalopin, Shantanu Das, Maria Kokkou · arXiv · 2024
With a common agreed direction but no chirality, the paper shows deterministic stationary leader election is possible in the Amoebot model, while explicit termination is impossible.
Plain English summary
Why this matters
Key findings
- In the Amoebot model with obstacles and common-direction agreement but no chirality, explicit termination for leader election is not possible.
- An implicitly terminating algorithm can elect a unique leader without requiring any movement.
- The results differ from the common model with chirality but no direction agreement, where explicit termination is possible but leader count depends on symmetry.
- Directional agreement enables unique stationary deterministic leader election beyond previously known simply connected cases under a sequential scheduler.
Limitations
The abstract does not provide experimental validation, performance metrics, or details of the algorithm beyond its stationary/implicit termination properties; it is framed within the Amoebot model and specific directional/chirality assumptions.
Publication
- Publisher
- arXiv
- Publication date
- February 16, 2024
- Research type
- Preprint
- arXiv
- 2402.10582
- Access
- open
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