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集合覆盖算法
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集合覆盖算法
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理学
组合算法
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set cover algorithm
集合覆盖算法
集合覆盖算法是求解集合覆盖问题的算法。集合覆盖问题(set cover problem,简称SCP)是计算机科学、组合数学以及计算复杂性理论中的重要问题。集合覆盖问题的形式化定义如下:给定一个全集以及集合,其中,覆盖(cover)是指一个集合,其中且包含的所有元素的并集为;集合覆盖的判定(Decision)问题为:给定和以及整数,判断是否存在势(Cardinality)小于或者等于的覆盖;集合覆盖的优化(Optimization)问题为:给定和,求一个势最小的覆盖。
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