Corrigendum to: "Linear time algorithm to cover and hit a set of line segments optimally by two axis-parallel squares", Theoretical Computer Science 769 (2019) 63--74

Abstract

In the paper "Linear time algorithm to cover and hit a set of line segments optimally by two axis-parallel squares", TCS Volume 769 (2019), pages 63--74, the LHIT problem is proposed as follows: For a given set of non-intersecting line segments $\mathcal{L}=\{{\ell }_1,{\ell }_2,\dots ,{\ell }_n\}$ in $I{R}^2$, compute two axis-parallel congruent squares ${\mathcal{S}}_1$ and ${\mathcal{S}}_2$ of minimum size whose union hits all the line segments in $\mathcal{L}$, and a linear time algorithm was proposed. Later it was observed that the algorithm has a bug. In this corrigendum, we corrected the algorithm. The time complexity of the corrected algorithm is $O(n^2)$.