Near-Optimal Randomized Algorithms for Selection in Totally Monotone Matrices

Near-Optimal Randomized Algorithms for Selection in Totally Monotone Matrices
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DOI:
10.1137/1.9781611976465.89
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发表时间:
2021-01
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通讯作者:
Timothy M. Chan
Timothy M. Chan
中科院分区:
其他
文献类型:
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作者:
Timothy M. Chan

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我们重新审视有关在完全单调矩阵中搜索的经典问题,这些矩阵在计算几何和其他领域中具有许多应用。在同伴论文中,我们为许多此类问题提供了新的(近)线性时间算法。在本文中,我们描述了更多基本问题的新的次级次级结果,包括以下内容:
We revisit classical problems about searching in totally monotone matrices, which have many applications in computational geometry and other areas. In a companion paper, we gave new (near-)linear-time algorithms for a number of such problems. In the present paper, we describe new subquadratic results for more basic problems, including the following: