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arXiv · 1303.6872

Order-Preserving Suffix Trees and Their Algorithmic Applications

Maxime Crochemore·Costas S. Iliopoulos·Tomasz Kociumaka·Marcin Kubica·Alessio Langiu·Solon P. Pissis·Jakub Radoszewski·Wojciech Rytter·Tomasz Walen
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Abstract

Recently Kubica et al. (Inf. Process. Let., 2013) and Kim et al. (submitted to Theor. Comp. Sci.) introduced order-preserving pattern matching. In this problem we are looking for consecutive substrings of the text that have the same "shape" as a given pattern. These results include a linear-time order-preserving pattern matching algorithm for polynomially-bounded alphabet and an extension of this result to pattern matching with multiple patterns. We make one step forward in the analysis and give an $O(\frac{n\log{n}}{\log\log{n}})$ time randomized algorithm constructing suffix trees in the order-preserving setting. We show a number of applications of order-preserving suffix trees to identify patterns and repetitions in time series.

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Maxime Crochemore, Costas S. Iliopoulos, Tomasz Kociumaka, Marcin Kubica, Alessio Langiu, Solon P. Pissis, Jakub Radoszewski, Wojciech Rytter, Tomasz Walen. 2013-03-27. Order-Preserving Suffix Trees and Their Algorithmic Applications. https://arxiv.org/abs/1303.6872

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