2 papers
math.AT2025
Parametrized Topological Complexity for a Multi-Robot System with Variable Tasks
Gopal Chandra Dutta, Amit Kumar Paul, Subhankar Sau
We study a generalized motion planning problem involving multiple autonomous robots navigating in a -dimensional Euclidean space in the presence of a set of obstacles whose posi…
math.AT2025
Parametrized topological complexity of bundles of real projective spaces, I
Michael Farber, Amit Kumar Paul, Lucile Vandembroucq
Analysis of motion algorithms for autonomous systems operating under variable external conditions leads to the concept of parametrized topological complexity \cite{CFW}. In \cite{C…