15 citations · 15 across the 2 of their papers we have counts for
6 papers
Effectual Topological Complexity
Natalia Cadavid-Aguilar, Jesús González, Bárbara Gutiérrez +1
We introduce the effectual topological complexity (ETC) of a -space . This is a -equivariant homotopy invariant sitting in between the effective topological complexity of…
Linear motion planning with controlled collisions and pure planar braids
Jesús González, José Luis León-Medina, Christopher Roque
We compute the Lusternik-Schnirelmann category (LS-cat) and the higher topological complexity (, ) of the "no--equal" configuration space Conf. T…
Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
Jesús González, Bárbara Gutiérrez
We compute the higher topological complexity of ordered configuration spaces of orientable surfaces, thus extending Cohen-Farber's description of the ordinary topological complexit…
Pairwise disjoint maximal cliques in random graphs and sequential motion planning on random right angled Artin groups
Jesús González, Bárbara Gutiérrez, Hugo Mas
The clique number of a random graph in the Erdos-Renyi model G(n,p) yields a random variable which is known to be asymptotically (as n tends to infinity) almost surely within one o…
Motion planning in real flag manifolds
Jesús González, Barbara Gutiérrez, Darwin Gutiérrez +1
Starting from Borel's description of the mod-2 cohomology of real flag manifolds, we give a minimal presentation of the cohomology ring for semi complete flag manifolds $F_{k,m}:=F…
The higher topological complexity of subcomplexes of products of spheres---and related polyhedral product spaces
Jesús González, Bárbara Gutiérrez, Sergey Yuzvinsky
We construct "higher" motion planners for automated systems whose space of states are homotopy equivalent to a polyhedral product space , e.g. robot arms…