CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS

DOI10.1142/9789813226579_0005zbMath1402.55002arXiv1701.02083OpenAlexW2573261522MaRDI QIDQ4684321

Michael S. Farber

Publication date: 28 September 2018

Published in: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02083

zbMATH Keywords

configuration spacesgraphstopological complexityrobot motion planning algorithms

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (17)

Topological complexity of configuration spaces of fully articulated graphs and banana graphs ⋮ Relative topological complexity and configuration spaces ⋮ Geodesic complexity of homogeneous Riemannian manifolds ⋮ On the topological complexity of aspherical spaces ⋮ The Parameterized Complexity of Motion Planning for Snake-Like Robots ⋮ Topological complexity of unordered configuration spaces of certain graphs ⋮ SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES ⋮ Digital topological complexity numbers ⋮ Oriented robot motion planning in Riemannian manifolds ⋮ Higher topological complexity of aspherical spaces ⋮ Farber's conjecture for planar graphs ⋮ Multitasking collision-free optimal motion planning algorithms in Euclidean spaces ⋮ Topological complexity of unordered configuration spaces of surfaces ⋮ Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees ⋮ CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE ⋮ Bredon cohomology and robot motion planning ⋮ Parametrized topological complexity of collision-free motion planning in the plane

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