Introducci\'on a la teor\'ia de complejidad topol\'ogica

Autor: Zapata, Cesar A. Ipanaque, Pérez, Rodolfo J. Gálvez
Jazyk: Spanish; Castilian
Rok vydání: 2021
Předmět:
Zdroj: 2021
Druh dokumentu: Working Paper
DOI: 10.15381/pesquimat.v24i1.20428
Popis: In this work we will review the notion of topological complexity, introduced by Michael Farber in 2003. We will use this theory of topological complexity to solve the motion planning problem of a mobile robot that navigates in the Euclidean plane avoiding colliding with an obstacle. Specifically, we calculate topological complexity and design explicit algorithms.
Comment: In spanish. Keywords: Topological complexity, Motion planning problem, Algoritms
Databáze: arXiv