Presentation 2011-05-11
Algorithms for computing Longest Common Substring/Subsequence on Non-linear Texts
Kouji SHIMOHIRA, Shunsuke INENAGA, Hideo BANNAI, Masayuki TAKEDA,
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Abstract(in English) A non-linear text is a directed graph where each vertex is labeled with a string. In this paper, we define Longest common substring/subsequence problems on Non-linear texts and solve them, to measure degree of similarity between two non-linear texts. We propose O(|E_1||E_2|)-time algorithms on acyclic non-linear texts, where |E_1|, |E_2| are the numbers of edges in the non-linear texts G_1, G_2. In addition we propose an O(|E_1|+|E_2|+|E'_1||E'_2|+|V'_1||V'_2|log|Σ|+|Σ|log|Σ|)-time algorithm to solve a longest common subsequence problem on cyclic non-linear texts, where |E'_1|, |E'_2|, (|V'_1|, |V'_2| are the numbers of edges and vertexes in the non-linear texts which are transformed from G_1, G_2.
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Keyword(in English) Non-Linear texts / Longest common substing problem / Longest common subsequence problem
Paper # COMP2011-13
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Conference Information
Committee COMP
Conference Date 2011/5/4(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Algorithms for computing Longest Common Substring/Subsequence on Non-linear Texts
Sub Title (in English)
Keyword(1) Non-Linear texts
Keyword(2) Longest common substing problem
Keyword(3) Longest common subsequence problem
1st Author's Name Kouji SHIMOHIRA
1st Author's Affiliation Graduate School of Information Science and Electrical Engineering, Kyushu University()
2nd Author's Name Shunsuke INENAGA
2nd Author's Affiliation Faculty of Information Science and Electrical Engineering, Kyushu University
3rd Author's Name Hideo BANNAI
3rd Author's Affiliation Faculty of Information Science and Electrical Engineering, Kyushu University
4th Author's Name Masayuki TAKEDA
4th Author's Affiliation Faculty of Information Science and Electrical Engineering, Kyushu University
Date 2011-05-11
Paper # COMP2011-13
Volume (vol) vol.111
Number (no) 25
Page pp.pp.-
#Pages 8
Date of Issue