论文标题

内部quasiperiod查询

Internal Quasiperiod Queries

论文作者

Crochemore, Maxime, Iliopoulos, Costas, Radoszewski, Jakub, Rytter, Wojciech, Straszyński, Juliusz, Waleń, Tomasz, Zuba, Wiktor

论文摘要

内部模式匹配需要一个人回答有关给定字符串因素的查询。回答内部时期查询,要求给定因素的时期,许多结果已知。在本文中,我们(首次)调查了给定因子的覆盖物(也称为Quasiperiods)的内部查询。我们提出了一个数据结构,该数据结构在$ o(\ log n \ log \ log \ log n)$最短封面中的时间和$ o(\ log n(\ log \ log n)^2)$(在$ o(\ log \ log n)^2)中表示所有封面后的时间,在$ o(n \ log n)$时间和空间的时间和空间预处理后。

Internal pattern matching requires one to answer queries about factors of a given string. Many results are known on answering internal period queries, asking for the periods of a given factor. In this paper we investigate (for the first time) internal queries asking for covers (also known as quasiperiods) of a given factor. We propose a data structure that answers such queries in $O(\log n \log \log n)$ time for the shortest cover and in $O(\log n (\log \log n)^2)$ time for a representation of all the covers, after $O(n \log n)$ time and space preprocessing.

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