Motion planning in tori

Document Type

Article

Publication Date

1-1-2008

Abstract

Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calculate the topological complexity of complements of general position arrangements and Eilenberg-Mac Lane spaces associated to right-angled Artin groups. © 2008 London Mathematical Society.

Publication Source (Journal or Book title)

Bulletin of the London Mathematical Society

First Page

249

Last Page

262

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