On the average-case complexity of Shellsort
نویسندگان
چکیده
منابع مشابه
On the average-case complexity of Shellsort
We prove a lower bound expressed in the increment sequence on the average-case complexity (number of inversions which is proportional to the running time) of Shellsort. This lower bound is sharp in every case where it could be checked. We obtain new results e.g. determining the average-case complexity precisely in the Yao-Janson-Knuth 3-pass case.
متن کاملOn The Average-Case Complexity of Shellsort
We prove a lower bound expressed in the increment sequence on the average-case complexity (number of inversions which is proportional to the running time) of Shellsort. This lower bound is sharp in every case where it could be checked. We obtain new results e.g. determining the average-case complexity precisely in the Yao-Janson-Knuth 3-pass case.
متن کاملAverage-Case Complexity of Shellsort
We prove a general lower bound on the average-case complexity of Shellsort: the average number of data-movements (and comparisons) made by a p-pass Shellsort for any incremental sequence is Ω(pn 1 p ) for all p ≤ logn. Using similar arguments, we analyze the average-case complexity of several other sorting algorithms.
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15 صفحه اولBest Increments for the Average Case of Shellsort
This paper presents the results of using sequential analysis to find increment sequences that minimize the average running time of Shellsort, for array sizes up to several thousand elements. The obtained sequences outperform by about 3% the best ones known so far, and there is a plausible evidence that they are the optimal ones.
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ژورنال
عنوان ژورنال: Random Structures & Algorithms
سال: 2017
ISSN: 1042-9832
DOI: 10.1002/rsa.20737