# Minimum Constraint Removal Problem for Line Segments is NP-hard

@article{Bigham2021MinimumCR, title={Minimum Constraint Removal Problem for Line Segments is NP-hard}, author={Bahram Sadeghi Bigham}, journal={ArXiv}, year={2021}, volume={abs/2107.03140} }

In the minimum constraint removal (MCR), there is no feasible path to move from the starting point towards the goal and, the minimum constraints should be removed in order to find a collision-free path. It has been proved that MCR problem is NP −hard when constraints have arbitrary shapes or even they are in shape of convex polygons. However, it has a simple linear solution when constraints are lines and the problem is open for other cases yet. In this paper, using a reduction from Subset Sum… Expand

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