# Single and Multiple Consecutive Permutation Motif Search

@inproceedings{Belazzougui2013SingleAM, title={Single and Multiple Consecutive Permutation Motif Search}, author={Djamal Belazzougui and Adeline Pierrot and Mathieu Raffinot and St{\'e}phane Vialette}, booktitle={International Symposium on Algorithms and Computation}, year={2013} }

Let t be a permutation (that shall play the role of the text) on [n] and a motif p be a sequence of m distinct integer(s) of [n], m ≤ n. The motif p occurs in t in position i if and only if p 1 …p m is order-isomorphic to t i …t i + m − 1, that is, for all 1 ≤ k p l if and only if t i + k − 1 > t i + l − 1. Searching for a motif p in a text t consists in identifying all occurrences of p in t. We first present a forward automaton which allows us to search for p in t in O(m 2loglogm + n) time. We…

## 22 Citations

### Shape-Preserving Pattern Matching

- Mathematics, Computer ScienceICTCS
- 2020

Two linear-time algorithms are presented which, given a text y and a pattern x over an integer alphabet, finds all the factors of y that are shape-isomorphic to x, and this problem is called shape-preserving pattern-matching problem.

### Toward a Succinct Index for Order-Preserving Pattern Matching

- Computer ScienceArXiv
- 2016

The first index for this problem that uses sublinear space in addition to the data, which is useful when the authors want to search repeatedly in datasets to which they have read-only access and which are too large to copy conveniently is introduced.

### The order-preserving pattern matching problem in practice

- Computer ScienceDiscret. Appl. Math.
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### Order-Preserving Indexing (cid:73)

- Computer Science, Physics
- 2016

An index is proposed that enables order-preserving pattern matching queries in time proportional to pattern length, and an O ( n (cid:112) log n )-time algorithm is given constructing complete order- Preserving su ﬃ x trees.

### An Encoding for Order-Preserving Matching

- Computer ScienceESA
- 2017

This paper gives the first encoding data structure for the challenging problem of order-preserving pattern matching, and shows how an O(n log log n)-bit encoding can be built such that later, given a pattern P[1..m] with m >= log^c n, it can return the number of orderserving occurrences of P in S in O(m) time.

### String Periods in the Order-Preserving Model

- Computer ScienceSTACS
- 2018

The order-preserving model (op-model, in short) was introduced quite recently but has already attracted significant attention because of its applications in data analysis and algorithms to compute several types of periods in this setting are introduced.

### Order-Preserving Pattern Matching Indeterminate Strings

- Computer ScienceCPM
- 2018

This paper provides the first polynomial algorithms to answer the muOPPM problem when: 1) indetermination is observed on the pattern or text; and 2) ind determination is observation on both the pattern and the text and given by uncertainties between pairs of characters.

### Efficient Algorithms for the Order Preserving Pattern Matching Problem

- Computer ScienceAAIM
- 2016

This paper presents two new filtering approaches which turn out to be much more effective in practice than the previously presented methods by reducing the number of false positives up to 99 % and up to 2 times faster than the previous solutions.

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