Motion planning in tori

被引:24
作者
Cohen, Daniel C. [1 ]
Pruidze, Goderdzi [1 ]
机构
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70808 USA
关键词
D O I
10.1112/blms/bdn005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:249 / 262
页数:14
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