The Number of Satisfying Assignments of Random Regular k-SAT Formulas

The Number of Satisfying Assignments of Random Regular k-SAT Formulas
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随机正则k-SAT公式的满意分配数

DOI:
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发表时间:
2016
期刊:
Combinatorics, probability & computing
影响因子:
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通讯作者:
N. Wormald
N. Wormald
中科院分区:
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文献类型:
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作者:
A. Coja;N. Wormald

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设Φ是一个随机k-SAT公式,其中每个变量恰好出现d次正和d次负。假设k足够大,并且d略低于公式以高概率变得不可满足的临界度,我们确定满足分配的数量的极限分布。
Let Φ be a random k-SAT formula in which every variable occurs precisely d times positively and d times negatively. Assuming that k is sufficiently large and that d is slightly below the critical degree where the formula becomes unsatisfiable with high probability, we determine the limiting distribution of the number of satisfying assignments.