3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.GT2020
Geodesic complexity of motion planning
David Recio-Mitter
We introduce the geodesic complexity of a metric space, inspired by the topological complexity of a topological space. Both of them are numerical invariants, but, while the TC only…
math.AT2019★ 3 cited
The geodesic complexity of n-dimensional Klein bottles
Donald M. Davis, David Recio-Mitter
The geodesic complexity of a metric space X is the smallest k for which there is a partition of X x X into ENRs E_0,...,E_k on each of which there is a continuous choice of minimal…
math.AT2018
Topological complexity of configuration spaces of fully articulated graphs and banana graphs
Daniel Lütgehetmann, David Recio-Mitter
In this paper we determine the topological complexity of configuration spaces of graphs which are not necessarily trees, which is a crucial assumption in previous results. We do th…