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math.AT2019
Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees
Jorge Aguilar-Guzmán, Jesús González, Teresa Hoekstra-Mendoza
Using the ordered analogue of Farley-Sabalka's discrete gradient field on the configuration space of a graph, we unravel a levelwise behavior of the generators of the pure braid gr…
math.AT2019★ 1 cited
On the homotopy type of complexes of graphs with bounded domination number
Jesús González, Teresa I. Hoekstra-Mendoza
Let be the complex of graphs on vertices and domination number at least . We prove that has the homotopy type of a finite wedge of 2-spheres. This is d…