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Faster Online Elastic Degenerate String Matching

Authors Kotaro Aoyama, Yuto Nakashima, Tomohiro I , Shunsuke Inenaga, Hideo Bannai , Masayuki Takeda

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ACM Subject Classification
  • Theory of computation → Pattern matching
Keywords
  • elastic degenerate pattern matching
  • boolean convolution

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Abstract

An Elastic-Degenerate String [Iliopoulus et al., LATA 2017] is a sequence of sets of strings, which was recently proposed as a way to model a set of similar sequences. We give an online algorithm for the Elastic-Degenerate String Matching (EDSM) problem that runs in O(nm sqrt{m log m} + N) time and O(m) working space, where n is the number of elastic degenerate segments of the text, N is the total length of all strings in the text, and m is the length of the pattern. This improves the previous algorithm by Grossi et al. [CPM 2017] that runs in O(nm^2 + N) time.

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Kotaro Aoyama, Yuto Nakashima, Tomohiro I, Shunsuke Inenaga, Hideo Bannai, and Masayuki Takeda. Faster Online Elastic Degenerate String Matching. In 29th Annual Symposium on Combinatorial Pattern Matching (CPM 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 105, pp. 9:1-9:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.CPM.2018.9

Author Details

Kotaro Aoyama
  • Department of Electrical Engineering and Computer Science, Kyushu University, Japan
Yuto Nakashima
  • Department of Informatics, Kyushu University, Japan
Tomohiro I
  • Frontier Research Academy for Young Researchers, Kyushu Institute of Technology, Japan
Shunsuke Inenaga
  • Department of Informatics, Kyushu University, Japan
Hideo Bannai
  • Department of Informatics, Kyushu University, Japan
Masayuki Takeda
  • Department of Informatics, Kyushu University, Japan

References

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