اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدCorrigendum 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
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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 ${cal L} = {ell_1, ell_2, ldots, ell_n}$ in $I!!R^2$, compute two axis-parallel congruent squares ${cal S}_1$ and ${cal S}_2$ of minimum size whose union hits all the line segments in $cal L$, 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 $O(n^2)$.
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This paper discusses the problem of covering and hitting a set of line segments $cal L$ in ${mathbb R}^2$ by a pair of axis-parallel squares such that the side length of the larger of the two squares is minimized. We also discuss the restricted versi
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