منابع مشابه
A note on multipivot Quicksort
We analyse a generalisation of the Quicksort algorithm, where k uniformly at random chosen pivots are used for partitioning an array of n distinct keys. Specifically, the expected cost of this scheme is obtained, under the assumption of linearity of the cost needed for the partition process. The integration constants of the expected cost are computed using Vandermonde matrices.
متن کاملA note on the quicksort asymptotics
In a recent paper, Bindjeme and Fill obtained a surprisingly easy exact formula for the L2-distance of the (normalized) number of comparisons of Quicksort under the uniform model to its limit. Shortly afterwards, Neininger proved a central limit theorem for the error. As a consequence, he obtained the asymptotics of the L3-distance. In this short note, we use the moment transfer approach to re-...
متن کاملLecture Notes on Quicksort
In this lecture we consider two related algorithms for sorting that achieve a much better running time than the selection sort from last lecture: mergesort and quicksort. We developed quicksort and its invariants in detail. As usual, contracts and loop invariants will bridge the gap between the abstract idea of the algorithm and its implementation. We will revisit many of the computational thin...
متن کاملQuicksort Revisited - Verifying Alternative Versions of Quicksort
We verify the correctness of a recursive version of Tony Hoare’s quicksort algorithm using the Hoare-logic based verification tool Dafny. We then develop a non-standard, iterative version which is based on a stack of pivot-locations rather than the standard stack of ranges. We outline an incomplete Dafny proof for the latter.
متن کاملA refined Quicksort asymptotic
The complexity of the Quicksort algorithm is usually measured by the number of key comparisons used during its execution. When operating on a list of n data, permuted uniformly at random, the appropriately normalized complexity Yn is known to converge almost surely to a non-degenerate random limit Y. This assumes a natural embedding of all Yn on one probability space, e.g., via random binary se...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Information and Optimization Sciences
سال: 2018
ISSN: 0252-2667,2169-0103
DOI: 10.1080/02522667.2017.1303947