9.2 Colinear configurations 284 9.3 Deformations σij 284 9.4 Repackaging the regions of
continuity 286 10 Configuration spaces of graphs 286 10.1 Motion planning algorithm in F …

In this paper we develop a theory of sequential parametrized motion planning generalising
the approach of parametrized motion planning, which was introduced recently in [3]. A …

In this article we study the higher topological complexity TC r (X) in the case when X is an
aspherical space, X= K (π, 1) and r≥ 2. We give a characterisation of TC r (K (π, 1)) in terms …

We generalize results from topological robotics on the topological complexity (TC) of
aspherical spaces to sectional categories of fibrations inducing subgroup inclusions on the …

Starting from Borel's description of the mod-2 cohomology of real flag manifolds, we give a
minimal presentation of the cohomology ring for semi complete flag manifolds $ F_ {k, m}:= F …

Autonomous motion of a system (robot) is controlled by a motion planning algorithm. A
sequential parametrized motion planning algorithm works under variable external conditions …

The topological complexity (TC) of the complement of a complex hyperplane arrangement,
which is either linear generic or else affine in general position, has been computed by …

Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
Page 160 Contemporary Mathematics Volume 702 , 2018 http://dx. doi. org/10.1090/conm/702/14102 …

We develop a theory of generalized Hopf invariants in the setting of sectional category. In
particular, we show how Hopf invariants for a product of fibrations can be identified as …

We present optimal motion planning algorithms which can be used in designing practical
systems controlling objects moving in Euclidean space without collisions. Our algorithms are …