Shellsort with three increments

dc.creatorJanson, Svante
dc.creatorKnuth, Donald E.
dc.date1996-08-22
dc.date.accessioned2026-07-07T09:12:20Z
dc.date.available2026-07-07T09:12:20Z
dc.descriptionA perturbation technique can be used to simplify and sharpen A. C. Yao's theorems about the behavior of shellsort with increments $(h,g,1)$. In particular, when $h=Θ(n^{7/15})$ and $g=Θ(h^{1/5})$, the average running time is $O(n^{23/15})$. The proof involves interesting properties of the inversions in random permutations that have been $h$-sorted and $g$-sorted.
dc.identifierhttps://arxiv.org/abs/cs/9608105
dc.identifierhttp://arxiv.org/abs/cs/9608105
dc.identifierRandom Structures Algorithms 10 (1997), no. 1-2, 125--142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151988
dc.subjectData Structures and Algorithms
dc.titleShellsort with three increments
dc.typetext

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