Datové struktury pro setříděné ukládání dat

In this work we study two variants of a bucketing game. This game is used for the lower bound proof of time complexity of item insertion into a sorted array, a data structure for the order maintenance problem. We show that these two variants of the bucketing game have the same time complexity up to...

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Bibliographic Details
Main Author: Bulánek, Jan
Other Authors: Koucký, Michal
Format: Dissertation
Language:English
Published: 2010
Online Access:http://www.nusl.cz/ntk/nusl-298661
Description
Summary:In this work we study two variants of a bucketing game. This game is used for the lower bound proof of time complexity of item insertion into a sorted array, a data structure for the order maintenance problem. We show that these two variants of the bucketing game have the same time complexity up to a constant factor. Then we show that sorted arrays can use cache efficiently for certain operations. Finally, we present one implementation of the order maintenance data structure using the array of size n1+e.