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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Christian Rubio-Montiel
Division de Matematicas e Ingenieria, Facultad de Estudios Superiores Acatlan, Universidad Nacional Autonoma de Mexico, State of México, Mexico
Electrical & Electronics Engineering

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Motions of a connected subgraph representing a swarm of robots inside a graph of work stations Aarón Atilano; Sebastian Bejos; Christian Rubio-Montiel
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 2 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.2.12

Abstract

Imagine that a swarm of robots is given, these robots must communicate with each other, and they can do so if certain conditions are met. We say that the swarm is connected if there is at least one way to send a message between each pair of robots. A robot can move from a work station to another only if the connectivity of the swarm is preserved in order to perform some tasks. We model the problem via graph theory, we study connected subgraphs and how to motion them inside a connected graph preserving the connectivity. We determine completely the group of movements.
Co-Authors Aarón Atilano Sebastian Bejos