Guided Search and a Faster Deterministic Algorithm for 3-SAT

Guided Search and a Faster Deterministic Algorithm for 3-SAT
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3-SAT 的引导搜索和更快的确定性算法

DOI:
10.1007/978-3-540-78773-0_6
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发表时间:
2008
期刊:
Latin American Symposium on Theoretical Informatics
影响因子:
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通讯作者:
Dominik Scheder
Dominik Scheder
中科院分区:
--
文献类型:
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作者:
Dominik Scheder

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NP难问题的大多数确定性算法是分裂算法:它们将问题实例分裂成几个较小的问题,然后递归求解。通常,算法可以在几种分裂之间进行选择。对于3-SAT,我们表明,明智地选择哪种分裂应用,可以避免遇到太多的最坏情况的情况。这将3-SAT当前最著名的确定性最坏情况运行时间从提高到,n是输入公式中的变量数。
Most deterministic algorithms for NP-hard problems aresplitting algorithms: They split a problem instance into several smaller ones, which they solve recursively. Often, the algorithm has a choice between several splittings. For 3-SAT, we show that choosing wisely which splitting to apply, one can avoid encountering too many worst-case instances. This improves the currently best known deterministic worst case running time for 3-SAT fromto,nbeing the number of variables in the input formula.