Two-dimensional range successor in optimal time and almost linear space

被引：4

作者：

Zhou, Gelin ^{[1
]}

机构：

[1] Univ Waterloo, David R Cheriton Sch Comp Sci, Waterloo, ON N2L 3G1, Canada

来源：

INFORMATION PROCESSING LETTERS | 2016年 / 116卷 / 02期

关键词：

Data structures; Computational geometry; Range successor; Sorted range reporting; Planar orthogonal skyline reporting; QUERIES;

D O I：

10.1016/j.ipl.2015.09.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we revisit the problem of supporting two-dimensional range successor queries. We present a data structure with O (n lglg n) words of space and O(lglgn) query time. This improves the work of Nekrich and Navarro (2012) by a factor of lg lgn in query time, or a factor of lg(is an element of) in space cost, where E is an arbitrary positive constant. Our data structure matches the state of the art for two-dimensional range emptiness queries and achieves the optimal query time. This structure has fruitful applications in computational geometry and text indexing. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：171 / 174

页数：4

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