Introduction to the topological complexity theory
DOI:
https://doi.org/10.15381/pesquimat.v24i1.20428Keywords:
Topological complexity, Motion planning problem, AlgoritmsAbstract
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 optimal algorithms.
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Copyright (c) 2021 Cesar Augusto Ipanaque Zapata, Rodolfo José Gálvez Pérez
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