Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works

Hideaki Hori; Shinichi Shimozono; Masayuki Takeda; Ayumi Shinohara

doi:10.1007/3-540-45678-3_61

Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works

Hideaki Hori, Shinichi Shimozono, Masayuki Takeda, Ayumi Shinohara

Mathematical Informatics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

A fragmentary pattern is a multiset of non-empty strings, and it matches a string w if all the strings in it occur within w without any overlaps. We study some fundamental issues on computational complexity related to the matching of fragmentary patterns. We show that the fragmentary pattern matching problem is NP-complete, and the problem to find a fragmentary pattern common to two strings that maximizes the pattern score is NP-hard. Moreover, we propose a polynomialtime approximation algorithm for the fragmentary pattern matching, and show that it achieves a constant worst-case approximation ratio if either the strings in a pattern have the same length, or the importance weights of strings in a pattern are proportional to their lengths.

Original language	English
Title of host publication	Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings
Pages	719-730
Number of pages	12
DOIs	https://doi.org/10.1007/3-540-45678-3_61
Publication status	Published - Dec 1 2001
Event	12th International Symposium on Algorithms and Computation, ISAAC 2001 - Christchurch, New Zealand Duration: Dec 19 2001 → Dec 21 2001

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2223 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	12th International Symposium on Algorithms and Computation, ISAAC 2001
Country/Territory	New Zealand
City	Christchurch
Period	12/19/01 → 12/21/01

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/3-540-45678-3_61

Cite this

Hori, H., Shimozono, S., Takeda, M., & Shinohara, A. (2001). Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works. In Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings (pp. 719-730). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2223 LNCS). https://doi.org/10.1007/3-540-45678-3_61

Fragmentary pattern matching : Complexity, algorithms and applications for analyzing classic literary works. / Hori, Hideaki; Shimozono, Shinichi; Takeda, Masayuki et al.

Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings. 2001. p. 719-730 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2223 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hori, H, Shimozono, S, Takeda, M & Shinohara, A 2001, Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works. in Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2223 LNCS, pp. 719-730, 12th International Symposium on Algorithms and Computation, ISAAC 2001, Christchurch, New Zealand, 12/19/01. https://doi.org/10.1007/3-540-45678-3_61

Hori H, Shimozono S, Takeda M, Shinohara A. Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works. In Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings. 2001. p. 719-730. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-45678-3_61

Hori, Hideaki ; Shimozono, Shinichi ; Takeda, Masayuki et al. / Fragmentary pattern matching : Complexity, algorithms and applications for analyzing classic literary works. Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings. 2001. pp. 719-730 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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AB - A fragmentary pattern is a multiset of non-empty strings, and it matches a string w if all the strings in it occur within w without any overlaps. We study some fundamental issues on computational complexity related to the matching of fragmentary patterns. We show that the fragmentary pattern matching problem is NP-complete, and the problem to find a fragmentary pattern common to two strings that maximizes the pattern score is NP-hard. Moreover, we propose a polynomialtime approximation algorithm for the fragmentary pattern matching, and show that it achieves a constant worst-case approximation ratio if either the strings in a pattern have the same length, or the importance weights of strings in a pattern are proportional to their lengths.

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Fragmentary pattern matching: Complexity, algorithms and applications for analyzing classic literary works

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