Title
String periods in the order-preserving model.
Abstract
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(nlog⁡log⁡n), O(nlog2⁡log⁡n/log⁡log⁡log⁡n), O(nlog⁡n) depending on the type of periodicity. In the most general variant, the number of different op-periods can be as big as Ω(n2), 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.
Year
DOI
Venue
2018
10.1016/j.ic.2019.104463
Information and Computation
Keywords
DocType
Volume
Order-preserving pattern matching,Period,Efficient algorithm
Journal
270
ISSN
Citations 
PageRank 
0890-5401
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Garance Gourdel100.34
Tomasz Kociumaka221738.57
Jakub Radoszewski362450.36
wojciech rytter413017.13
Arseny M. Shur515226.47
Tomasz Waleń670639.62