Computing braid groups of graphs with applications to robot motion planning

DOI10.4310/HHA.2012.v14.n1.a8zbMath1244.57009arXiv1312.1725MaRDI QIDQ424856

Vitaliy Kurlin

Publication date: 6 June 2012

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1725

zbMATH Keywords

configuration spacebraid groupmotion planning algorithm

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Braid groups; Artin groups (20F36) Control of mechanical systems (70Q05) Kinematics of mechanisms and robots (70B15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Fundamental group, presentations, free differential calculus (57M05)

Related Items (3)

Characteristics of graph braid groups ⋮ Geometric presentations of braid groups for particles on a graph ⋮ Negative curvature in graph braid groups

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