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algorithm - 谁首先证明了所有基于比较的排序都是 Omega(n lg n)?

转载 作者:塔克拉玛干 更新时间:2023-11-03 04:36:26 28 4
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谁首先证明了所有基于比较的排序至少是 Omega(n lg n)?这个下界有名字吗?例如SomeGuysLastName 定理?

最佳答案

我的“Introduction to Algorithms”副本在第 8 章的章节注释中是这样说的,这是讨论这个边界的地方:

The decision-tree model for studying comparision sorts was introduced by Ford and Johnson (1). Knuth's comprehensive treatise on sorting (2) covers many variations of the sorting problem, including the information-theoretic lower bound on the complexity of sorting given here.

(1) Lester R. Ford, Jr. and Selmer M. Johnson. A tournament problem. The American Mathematical Monthly, 66:387-389, 1959.

(2) Donald E. Knuth. Sorting and Searching, volume 3 of The Art of Computer Programming. Addison-Wesley, 1973.

不是您问题的明确答案,但它是某种东西。

关于algorithm - 谁首先证明了所有基于比较的排序都是 Omega(n lg n)?,我们在Stack Overflow上找到一个类似的问题: https://stackoverflow.com/questions/4111031/

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