Faster range minimum queries

Author:

Kowalski Tomasz M.1ORCID,Grabowski Szymon1ORCID

Affiliation:

1. Institute of Applied Computer Science Lodz University of Technology Łódź Poland

Abstract

SummaryRange minimum query is an important building brick of many compressed data structures and string matching algorithms. Although this problem is essentially solved in theory, with sophisticated data structures allowing for constant time queries, practical performance and construction time also matter. Additionally, there are offline scenarios in which the number of queries, ie, q, is rather small and given beforehand, which encourages to use a simpler approach. In this work, we present a simple data structure, with very fast construction, which allows to handle queries in constant time on average. This algorithm, however, requires access to the input data during queries (which is not the case of sophisticated range minimum query solutions). We subsequently refine our technique, combining it with one of the existing succinct solutions with O(1) worst‐case time queries and no access to the input array. The resulting hybrid is still a memory frugal data structure, spending usually up to about 3n bits and providing competitive query times, especially for wide ranges. We also show how to make our baseline data structure more compact. Experimental results demonstrate that the proposed block‐based sparse table (BbST) variants are competitive to existing solutions, also in the offline scenario.

Funder

Narodowe Centrum Nauki

Publisher

Wiley

Subject

Software

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Range minimum queries in minimal space;Theoretical Computer Science;2022-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3