[HTML][HTML] On the complexity of barrier resilience for fat regions and bounded ply

M Korman, M Löffler, RI Silveira, D Strash - Computational Geometry, 2018‏ - Elsevier
In the barrier resilience problem (introduced by Kumar et al., Wireless Networks 2007), we
are given a collection of regions of the plane, acting as obstacles, and we would like to …

Revisiting the Minimum Constraint Removal Problem in Mobile Robotics

A Thomas, F Mastrogiovanni, M Baglietto - International Conference on …, 2023‏ - Springer
The minimum constraint removal problem seeks to find the minimum number of constraints,
ie, obstacles, that need to be removed to connect a start to a goal location with a collision …

How to navigate through obstacles?

E Eiben, I Kanj - ar** geometric
objects as obstacles in the plane, and we want to find the minimum number of obstacles that …

Minimum cell connection in line segment arrangements

H Alt, S Cabello, P Giannopoulos… - International Journal of …, 2017‏ - World Scientific
We study the complexity of the following cell connection problems in segment arrangements.
Given a set of straight-line segments in the plane and two points a and b in different cells of …

Point separation and obstacle removal by finding and hitting odd cycles

N Kumar, D Lokshtanov, S Saurabh, S Suri… - arxiv preprint arxiv …, 2022‏ - arxiv.org
Suppose we are given a pair of points $ s, t $ and a set $ S $ of $ n $ geometric objects in
the plane, called obstacles. We show that in polynomial time one can construct an auxiliary …

A constant factor approximation for navigating through connected obstacles in the plane

N Kumar, D Lokshtanov, S Saurabh, S Suri - Proceedings of the 2021 ACM …, 2021‏ - SIAM
Given two points s and t in the plane and a set of obstacles defined by closed curves, what is
the minimum number of obstacles touched by a path connecting s and t? This is a …