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arXiv 1306.0019cs.DMmath.CO
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格上的递归排序

Recursive Sorting in Lattices

Jens Gerlach

摘要:

直接应用格中的排序定义是不切实际的,因为它会导致一个具有指数复杂度的算法。在本文中,我们提出了分配格的递归公式来计算序列的排序。这个替代公式的灵感来自于帕斯卡三角形的恒等式。它提供了二次复杂性,实际上是格的插入排序的推广。

英文摘要:

The direct application of the definition of sorting in lattices is impractical because it leads to an algorithm with exponential complexity. In this paper we present for distributive lattices a recursive formulation to compute the sort of a sequence. This alternative formulation is inspired by the identity that underlies Pascal's triangle. It provides quadratic complexity and is in fact a generalization of insertion sort for lattices.

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