Simple and fast string algorithms by Lyndon words
Project/Area Number |
18K18002
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Research Category |
Grant-in-Aid for Early-Career Scientists
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Allocation Type | Multi-year Fund |
Review Section |
Basic Section 60010:Theory of informatics-related
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Research Institution | Kyushu University |
Principal Investigator |
Nakashima Yuto 九州大学, システム情報科学研究院, 助教 (80804682)
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Project Period (FY) |
2018-04-01 – 2022-03-31
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Project Status |
Completed (Fiscal Year 2021)
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Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Keywords | 文字列アルゴリズム / 文字列組合せ論 / Lyndon文字列 / Lyndon 文字列 / 文字列処理アルゴリズム |
Outline of Final Research Achievements |
This project aims to develop simple and fast string processing algorithms based on the properties of Lyndon words. To achieve this goal, we have tackled various problems on string processing algorithms and combinatorics on words, such as Lyndon words, repetitive structures, and palindromes. We showed various combinatorial properties on strings and proposed efficient string algorithms using the properties.
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Academic Significance and Societal Importance of the Research Achievements |
本研究は,文字列処理アルゴリズムおよび文字列組合せ論に関する基礎理論である.本研究で着目したLyndon文字列は,1950年代頃から数学的な観点から研究されているが,本研究のようにアルゴリズムへの応用の観点からの研究は発展途上であると考えられる.本研究成果で得られたLyndon文字列の性質やアルゴリズムは,当該分野の今後の研究において利用されると期待される.
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Report
(5 results)
Research Products
(78 results)
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[Journal Article] Counting Lyndon Subsequence2021
Author(s)
Ryo Hirakawa, Yuto Nakashima, Shunsuke Inenaga, Masayuki Takeda
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Journal Title
Proceedings of the Prague Stringology Conference 2021
Volume: -
Pages: 53-60
Related Report
Peer Reviewed / Open Access
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[Journal Article] On the Approximation Ratio of LZ-End to LZ772021
Author(s)
Takumi Ideue, Takuya Mieno, Mitsuru Funakoshi, Yuto Nakashima, Shunsuke Inenaga, Masayuki Takeda
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Journal Title
Proceedings of 28th International Symposium on String Processing and Information Retrieval
Volume: 12944
Pages: 114-126
DOI
ISBN
9783030866914, 9783030866921
Related Report
Peer Reviewed
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[Journal Article] Grammar Index by Induced Suffix Sorting2021
Author(s)
Tooru Akagi, Dominik Koeppl, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 28th International Symposium on String Processing and Information Retrieval
Volume: 12944
Pages: 85-99
DOI
ISBN
9783030866914, 9783030866921
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Longest Common Rollercoasters2021
Author(s)
Kosuke Fujita, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 28th International Symposium on String Processing and Information Retrieval
Volume: 12944
Pages: 21-32
DOI
ISBN
9783030866914, 9783030866921
Related Report
Peer Reviewed
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[Journal Article] The Parameterized Suffix Tray2021
Author(s)
Noriki Fujisato, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 12th International Conference on Algorithms and Complexity
Volume: 12701
Pages: 258-270
DOI
ISBN
9783030752415, 9783030752422
Related Report
Peer Reviewed
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[Journal Article] On repetitiveness measures of Thue-Morse words2020
Author(s)
Kanaru Kutsukake, Takuya Matsumoto, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 27th International Symposium on String Processing and Information Retrieval
Volume: 12303
Pages: 213-220
DOI
ISBN
9783030592110, 9783030592127
Related Report
Peer Reviewed
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[Journal Article] The parameterized position heap of a trie2019
Author(s)
Noriki Fujisato, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 11th International Conference on Algorithms and Complexity, Lecture Notes in Computer Science
Volume: 11485
Pages: 237-248
DOI
ISBN
9783030174019, 9783030174026
Related Report
Peer Reviewed
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[Journal Article] Computing runs on a trie2019
Author(s)
Ryo Sugahara, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of the 30th Annual Symposium on Combinatorial Pattern Matching, LIPIcs
Volume: 128
DOI
Related Report
Peer Reviewed / Open Access
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[Journal Article] On longest common property preserved substring queries2019
Author(s)
Kazuki Kai, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda, Tomasz Kociumaka
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Journal Title
Proceedings of 26th International Symposium on String Processing and Information Retrieval, Lecture Notes in Computer Science
Volume: 11811
Pages: 162-174
DOI
ISBN
9783030326852, 9783030326869
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Compact data structure for shortest unique substring queries2019
Author(s)
Takuya Mieno, Dominik Koeppl, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 26th International Symposium on String Processing and Information Retrieval, Lecture Notes in Computer Science
Volume: 11811
Pages: 107-123
DOI
ISBN
9783030326852, 9783030326869
Related Report
Peer Reviewed
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[Journal Article] Minimal unique substrings and minimal absent words in a sliding window2019
Author(s)
Takuya Mieno, Yuki Kuhara, Tooru Akagi, Yuta Fujishige, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 46th International Conference on Current Trends in Theory and Practice of Informatics, Lecture Notes in Computer Science
Volume: 12011
Pages: 148-160
DOI
ISBN
9783030389185, 9783030389192
Related Report
Peer Reviewed
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[Journal Article] Faster STR-EC-LCS computation2019
Author(s)
Kohei Yamada, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of 46th International Conference on Current Trends in Theory and Practice of Informatics, Lecture Notes in Computer Science
Volume: 12011
Pages: 125-135
DOI
ISBN
9783030389185, 9783030389192
Related Report
Peer Reviewed
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[Journal Article] Longest Lyndon Substring After Edit2018
Author(s)
Yuki Urabe, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of Annual Symposium on Combinatorial Pattern Matching 2018, LIPIcs
Volume: 105
DOI
Related Report
Peer Reviewed / Open Access
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[Journal Article] Longest substring palindrome after edit2018
Author(s)
Mitsuru Funakoshi, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
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Journal Title
Proceedings of Annual Symposium on Combinatorial Pattern Matching 2018, LIPIcs
Volume: 105
DOI
Related Report
Peer Reviewed / Open Access
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[Presentation] Longest Common Rollercoasters2021
Author(s)
Kosuke Fujita, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
Organizer
28th International Symposium on String Processing and Information Retrieval
Related Report
Int'l Joint Research
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[Presentation] The Parameterized Suffix Tray2021
Author(s)
Noriki Fujisato, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
Organizer
12th International Conference on Algorithms and Complexity
Related Report
Int'l Joint Research
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[Presentation] Faster STR-EC-LCS computation2020
Author(s)
Kohei Yamada, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
Organizer
46th International Conference on Current Trends in Theory and Practice of Informatics
Related Report
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