Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motion planning in tori   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.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas