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Topology of configuration space of two particles on a graph, {II}

Michael Farber and Elizabeth Hanbury

Algebraic & Geometric Topology 10 (2010) 2203–2227
1 A D Abrams, Configuration spaces and braid groups of graphs, PhD thesis, University of California, Berkeley (2000)
2 V I Arnol’d, The cohomology ring of the group of dyed braids, Mat. Zametki 5 (1969) 227 MR0242196
3 K Barnett, M Farber, Topology of configuration space of two particles on a graph, I, Algebr. Geom. Topol. 9 (2009) 593 MR2491587
4 F R Cohen, The homology of $\mathcal C_{n+1}$–spaces, $n\ge 0$, from: "The homology of iterated loop spaces" (editors F R Cohen, T I Lada, J P May), Lecture Notes in Math. 533, Springer (1976) MR0436146
5 A H Copeland Jr., Homology of deleted products in dimension one, Proc. Amer. Math. Soc. 16 (1965) 1005 MR0182968
6 A H Copeland Jr., C W Patty, Homology of deleted products of one-dimensional spaces, Trans. Amer. Math. Soc. 151 (1970) 499 MR0264651
7 E Fadell, L Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111 MR0141126
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 (2005) 123
9 M Farber, Invitation to topological robotics, Zurich Lectures in Advanced Math., European Math. Soc. (2008) MR2455573
10 D Farley, Homology of tree braid groups, from: "Topological and asymptotic aspects of group theory" (editors R Grigorchuk, M Mihalik, M Sapir, Z Šunik), Contemp. Math. 394, Amer. Math. Soc. (2006) 101 MR2216709
11 D Farley, Presentations for the cohomology rings of tree braid groups, from: "Topology and robotics" (editors M Farber, R Ghrist, M Burger, D Koditschek), Contemp. Math. 438, Amer. Math. Soc. (2007) 145 MR2359035
12 D Farley, L Sabalka, Discrete Morse theory and graph braid groups, Algebr. Geom. Topol. 5 (2005) 1075 MR2171804
13 D Farley, L Sabalka, On the cohomology rings of tree braid groups, J. Pure Appl. Algebra 212 (2008) 53 MR2355034
14 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
15 R W Ghrist, D E Koditschek, Safe cooperative robot dynamics on graphs, SIAM J. Control Optim. 40 (2002) 1556 MR1882808
16 S Janson, T Łuczak, A Rucinski, Random graphs, Wiley-Interscience Ser. in Discrete Math. and Optimization, Wiley-Interscience (2000) MR1782847
17 C W Patty, Homotopy groups of certain deleted product spaces, Proc. Amer. Math. Soc. 12 (1961) 369 MR0126274
18 C W Patty, The fundamental group of certain deleted product spaces, Trans. Amer. Math. Soc. 105 (1962) 314 MR0143211
19 B Totaro, Configuration spaces of algebraic varieties, Topology 35 (1996) 1057 MR1404924
20 V A Vassiliev, Complements of discriminants of smooth maps: topology and applications, Transl. of Math. Monogr. 98, Amer. Math. Soc. (1992) MR1168473