Asynchronous Gathering in a Torus - Sorbonne Université Access content directly
Conference Papers Year : 2022

Asynchronous Gathering in a Torus

Abstract

We consider the gathering problem for asynchronous and oblivious robots that cannot communicate explicitly with each other but are endowed with visibility sensors that allow them to see the positions of the other robots. Most investigations on the gathering problem on the discrete universe are done on ring shaped networks due to the number of symmetric configurations. We extend in this paper the study of the gathering problem on torus shaped networks assuming robots endowed with local weak multiplicity detection. That is, robots cannot make the difference between nodes occupied by only one robot from those occupied by more than one robot unless it is their current node. Consequently, solutions based on creating a single multiplicity node as a landmark for the gathering cannot be used. We present in this paper a deterministic algorithm that solves the gathering problem starting from any rigid configuration on an asymmetric unoriented torus shaped network.
Fichier principal
Vignette du fichier
LIPIcs-OPODIS-2021-9.pdf (1.1 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

hal-03592615 , version 1 (01-03-2022)

Licence

Attribution

Identifiers

Cite

Sayaka Kamei, Anissa Lamani, Fukuhito Ooshita, Sébastien Tixeuil, Koichi Wada. Asynchronous Gathering in a Torus. OPODIS 2021 - 25th International Conference on Principles of Distributed Systems, Dec 2021, Strasbourg, France. pp.9:1--9:17, ⟨10.4230/LIPIcs.OPODIS.2021.9⟩. ⟨hal-03592615⟩
37 View
16 Download

Altmetric

Share

Gmail Facebook X LinkedIn More