Algebraic & Geometric Topology Volume 11, issue 4 (2011)

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ISSN (electronic): 1472-2739

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Configuration spaces of thick particles on a metric graph

Kenneth Deeley

Algebraic & Geometric Topology 11 (2011) 1861–1892

DOI: 10.2140/agt.2011.11.1861

Bibliography

1	A Abrams, Configuration spaces and braid groups of graphs, PhD thesis, University of California, Berkeley (2000)
2	A Abrams, R Ghrist, Finding topology in a factory: configuration spaces, Amer. Math. Monthly 109 (2002) 140 MR1903151
3	K Barnett, The configuration space of two particles moving on a graph, PhD thesis, Durham University (2010)
4	K Barnett, M Farber, Topology of configuration space of two particles on a graph. I, Algebr. Geom. Topol. 9 (2009) 593 MR2491587
5	M Bestvina, PL Morse theory, Math. Commun. 13 (2008) 149 MR2488666
6	M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
7	K Deeley, Configuration spaces of thick particles on graphs, PhD thesis, Durham University (2011)
8	M Farber, Collision free motion planning on graphs, from: "Algorithmic foundations of robotics IV" (editors M Erdmann, D Hsu, M Overmars, A F van der Stappen), Springer Tracts in Adv. Robotics 17, Springer (2005) 123
9	M Farber, Invitation to topological robotics, Zürich Lectures in Advanced Math., Eur. Math. Soc. (2008) MR2455573
10	M Farber, E Hanbury, Topology of configuration space of two particles on a graph, II, Algebr. Geom. Topol. 10 (2010) 2203 MR2745669
11	R Ghrist, Configuration spaces and braid groups on graphs in robotics, from: "Knots, braids, and mapping class groups—papers dedicated to Joan S Birman (New York, 1998)" (editors J Gilman, W W Menasco, X S Lin), AMS/IP Stud. Adv. Math. 24, Amer. Math. Soc. (2001) 29 MR1873106
12	R Ghrist, Configuration spaces, braids, and robotics, from: "Braids" (editors A J Berrick, F R Cohen, E Hanbury, Y L Wong, J Wu), Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., World Sci. Publ. (2010) 263 MR2605308
13	R Ghrist, D E Koditschek, Safe cooperative robotic motions via dynamics on graphs, from: "Eighth Intl. Symp. on Robotic Research" (editor Y Nakayama), Springer-Verlag (1998) 81
14	R Ghrist, D E Koditschek, Safe cooperative robot dynamics on graphs, SIAM J. Control Optim. 40 (2002) 1556 MR1882808
15	K H Ko, H W Park, Characteristics of graph braid groups arXiv:1101.2648v1
16	J Światkowski, Estimates for homological dimension of configuration spaces of graphs, Colloq. Math. 89 (2001) 69 MR1853416