26 citations · 39 across the 7 of their papers we have counts for
8 papers
A Topological Data Analysis Framework for Quantifying Necrosis in Glioblastomas
Francisco Tellez, Enrique Torres-Giese
In this paper, we introduce a shape descriptor that we call "interior function". This is a Topological Data Analysis (TDA) based descriptor that refines previous descriptors for im…
Sequential motion planning assisted by group actions
Emmett Balzer, Enrique Torres-Giese
We study higher analogues of effective and effectual topological complexity of spaces equipped with a group action. These are -homotopy invariant and are motivated by the (highe…
Commutator Equations in Finite Groups
Kanto Irimoto, Enrique Torres-Giese
The problem of finding the number of ordered commuting tuples of elements in a finite group is equivalent to finding the size of the solution set of the system of equations determi…
Bidirectional Sequential Motion Planning
Enrique Torres-Giese
We define a simpler notion of symmetric topological complexity more ad hoc to the motion planning problem which was the original motivation for the definition of topological comple…
Motion planning algorithms for Configuration Spaces
Hugo Mas-Ku, Enrique Torres-Giese
We provide explicit motion planners for Euiclidean configuration spaces. This allows us to recover some known values of the topological complexity and the Lusternik-Schinirelman ca…
Topological complexity of motion planning in projective product spaces
Jesus Gonzalez, Mark Grant, Enrique Torres-Giese +1
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sph…
Higher commutativity and nilpotency in finite groups
Enrique Torres-Giese
We consider ordered tuples in finite groups generating nilpotent subgroups. Given an integer we consider the poset of nilpotent subgroups of class less than and its corresp…
Fundamental Groups of Commuting Elements in Lie Groups
Enrique Torres-Giese, Denis Sjerve
We compute the fundamental group of the spaces of ordered commuting -tuples of elements in the Lie groups SU(2), U(2) and SO(3). For SO(3) the computation of the mod-2 cohomolog…