83 citations · 85 across the 5 of their papers we have counts for
4 papers · 1 filter
Borsuk-Ulam property for graphs
Daciberg Lima Gonçalves, Jesús González
For finite connected graphs and , with admitting a free involution , we characterize the based homotopy classes for which the Borsuk-Ulam property holds i…
An algorithmic discrete gradient field and the cohomology algebra of configuration spaces of two points on complete graphs
Emilio J. González, Jesús González
We introduce an algorithm that constructs a discrete gradient field on any simplicial complex. We show that, in all situations, the gradient field is maximal possible and, in a num…
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity
Jorge Aguilar-Guzmán, Jesús González
We compute the topological complexity of a polyhedral product defined in terms of an LS-logarithmic family of locally compact connected CW topological groups. The ans…
Cohomology ring of tree braid groups and exterior face rings
Jesús González, Teresa Hoekstra-Mendoza
For a tree and a positive integer , let denote the -strand braid group on . We use discrete Morse theory techniques to show that the cohomology ring …