文章基本信息

标题：Compressed Orthogonal Search on Suffix Arrays with Applications to Range LCP
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作者：Kotaro Matsuda ; Kunihiko Sadakane ; Tatiana Starikovskaya 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2020
卷号：161
页码：23:1-23:13
DOI：10.4230/LIPIcs.CPM.2020.23
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：We propose a space-efficient data structure for orthogonal range search on suffix arrays. For general two-dimensional orthogonal range search problem on a set of n points, there exists an n log n (1+o(1))-bit data structure supporting O(log n)-time counting queries [MÃ¤kinen, Navarro 2007]. The space matches the information-theoretic lower bound. However, if we focus on a point set representing a suffix array, there is a chance to obtain a space efficient data structure. We answer this question affirmatively. Namely, we propose a data structure for orthogonal range search on suffix arrays which uses O(1/(Îµ) n (Hâ,+1)) bits where Hâ, is the order-0 entropy of the string and answers a counting query in O(n^Îµ) time for any constant Îµ>0. As an application, we give an O(1/(Îµ) n (Hâ,+1))-bit data structure for the range LCP problem.
关键词：Orthogonal Range Search; Succinct Data Structure; Suffix Array