Algebraic & Geometric Topology Volume 22, issue 2 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Two robots moving geodesically on a tree

Donald M Davis, Michael Harrison and David Recio-Mitter

Algebraic & Geometric Topology 22 (2022) 785–814

DOI: 10.2140/agt.2022.22.785

Bibliography

1	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
2	D M Davis, An n–dimensional Klein bottle, Proc. Roy. Soc. Edinburgh Sect. A 149 (2019) 1207 MR4010520
3	D M Davis, Geodesics in the configuration spaces of two points in ℝⁿ, Tbilisi Math. J. 14 (2021) 149 MR4255247
4	D M Davis, D Recio-Mitter, The geodesic complexity of n–dimensional Klein bottles, New York J. Math. 27 (2021) 296 MR4209536
5	M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
6	M Farber, Collision free motion planning on graphs, from: "Algorithmic foundations of robotics, VI" (editors M Erdmann, M Overmars, D Hsu, F van der Stappen), Springer Tracts Adv. Robot. 17, Springer (2005) 123
7	R Ghrist, Configuration spaces and braid groups on graphs in robotics, from: "Knots, braids, and mapping class groups" (editors J Gilman, W W Menasco, X S Lin), AMS/IP Stud. Adv. Math. 24, Amer. Math. Soc. (2001) 29 MR1873106
8	D Recio-Mitter, Geodesic complexity of motion planning, J. Appl. Comput. Topol. 5 (2021) 141 MR4224156