Abstract
In this paper we combine two string searching related problems: the approximate string matching under parameters \(\delta \) and \(\gamma \), and the order preserving matching problem. Order-preserving matching regards the internal structure of the strings rather than their absolute values while matching under \(\delta \) and \(\gamma \) distances permit a level of error. We formally define the \(\delta \gamma \)–order-preserving matching problem. We designed two algorithms for it based on the segment tree and the Fenwick tree, respectively. Also, we design and implement in C++ and an experimental setup to compare these algorithms with the naive solution and the updateBA algorithm introduced in [22]. The data structure based algorithms show better experimental performance due to their better lower bound of \(\varOmega (n \lg n)\) complexity.
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Niquefa, R., Mendivelso, J., Hernández, G., Pinzón, Y. (2017). Segment and Fenwick Trees for Approximate Order Preserving Matching. In: Figueroa-García, J., López-Santana, E., Villa-Ramírez, J., Ferro-Escobar, R. (eds) Applied Computer Sciences in Engineering. WEA 2017. Communications in Computer and Information Science, vol 742. Springer, Cham. https://doi.org/10.1007/978-3-319-66963-2_13
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DOI: https://doi.org/10.1007/978-3-319-66963-2_13
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