String periods in the order-preserving model

被引：1

作者：

Gourdel, Garance ^{[1
]}

Kociumaka, Tomasz ^{[2
,3
]}

Radoszewski, Jakub ^{[3
]}

Rytter, Wojciech ^{[3
]}

Shur, Arseny ^{[4
]}

Walen, Tomasz ^{[3
]}

机构：

[1] ENS Paris Saclay, Comp Sci Dept, 9 Rue Blaise Pascal, F-92220 Bagneux, France

[2] Bar Ilan Univ, Dept Comp Sci, IL-5290002 Ramat Gan, Israel

[3] Univ Warsaw, Inst Informat, Banacha 2, PL-02097 Warsaw, Poland

[4] Ural Fed Univ, Dept Algebra & Fundamental Informat, Pr Lenina 51, Ekaterinburg 620000, Russia

来源：

INFORMATION AND COMPUTATION | 2020年 / 270卷

基金：

欧盟地平线“2020”; 欧洲研究理事会;

关键词：

Order-preserving pattern matching; Period; Efficient algorithm; PARTIAL WORDS; ABELIAN PERIODS; EFFICIENT COMPUTATION; WILFS THEOREM; FINE; ALGORITHMS;

D O I：

10.1016/j.ic.2019.104463

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the order-preserving model, two strings match if they share the same relative order between the characters at the corresponding positions. This model is quite recent, but it has already attracted significant attention because of its applications in data analysis. We introduce several types of periods in this setting (op-periods). Then we give algorithms to compute these periods in time O(n), O(n loglogn), O(n log(2)logn/logloglogn), O(n logn) depending on the type of periodicity. In the most general variant, the number of different op-periods can be as big as Omega(n(2)), and a compact representation is needed. Our algorithms require novel combinatorial insight into the properties of op-periods. In particular, we characterize the Fine-Wilf property for coprime op-periods. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：22

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