138 citations · 514 across the 39 of their papers we have counts for
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math.AT2020★ 1 cited
Parametrized topological complexity of collision-free motion planning in the plane
Daniel C. Cohen, Michael Farber, Shmuel Weinberger
Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as…
math.AT2020★ 15 cited
Topology of parametrised motion planning algorithms
Daniel C. Cohen, Michael Farber, Shmuel Weinberger
In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the para…