Finding optimal pairs of cooperative and competing patterns with bounded distance

Shunsuke Inenaga, Hideo Bannai, Heikki Hyyrö, Ayumi Shinohara, Masayuki Takeda, Kenta Nakai, Satoru Miyano

研究成果: ジャーナルへの寄稿記事

10 引用 (Scopus)

抄録

We consider the problem of discovering the optimal pair of substring patterns with bounded distance α, from a given set S of strings. We study two kinds of pattern classes, one is in form p ∧ α q that are interpreted as cooperative patterns within α distance, and the other is in form p ∧ α ¬q representing competing patterns, with respect to S. We show an efficient algorithm to find the optimal pair of patterns in O(N 2) time using O(N) space. We also present an O(m 2N 2) time and O(m 2N) space solution to a more difficult version of the optimal pattern pair discovery problem, where m denotes the number of strings in S.

元の言語英語
ページ(範囲)32-46
ページ数15
ジャーナルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
3245
出版物ステータス出版済み - 12 1 2004

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Efficient Algorithms
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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

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abstract = "We consider the problem of discovering the optimal pair of substring patterns with bounded distance α, from a given set S of strings. We study two kinds of pattern classes, one is in form p ∧ α q that are interpreted as cooperative patterns within α distance, and the other is in form p ∧ α ¬q representing competing patterns, with respect to S. We show an efficient algorithm to find the optimal pair of patterns in O(N 2) time using O(N) space. We also present an O(m 2N 2) time and O(m 2N) space solution to a more difficult version of the optimal pattern pair discovery problem, where m denotes the number of strings in S.",
author = "Shunsuke Inenaga and Hideo Bannai and Heikki Hyyr{\"o} and Ayumi Shinohara and Masayuki Takeda and Kenta Nakai and Satoru Miyano",
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T1 - Finding optimal pairs of cooperative and competing patterns with bounded distance

AU - Inenaga, Shunsuke

AU - Bannai, Hideo

AU - Hyyrö, Heikki

AU - Shinohara, Ayumi

AU - Takeda, Masayuki

AU - Nakai, Kenta

AU - Miyano, Satoru

PY - 2004/12/1

Y1 - 2004/12/1

N2 - We consider the problem of discovering the optimal pair of substring patterns with bounded distance α, from a given set S of strings. We study two kinds of pattern classes, one is in form p ∧ α q that are interpreted as cooperative patterns within α distance, and the other is in form p ∧ α ¬q representing competing patterns, with respect to S. We show an efficient algorithm to find the optimal pair of patterns in O(N 2) time using O(N) space. We also present an O(m 2N 2) time and O(m 2N) space solution to a more difficult version of the optimal pattern pair discovery problem, where m denotes the number of strings in S.

AB - We consider the problem of discovering the optimal pair of substring patterns with bounded distance α, from a given set S of strings. We study two kinds of pattern classes, one is in form p ∧ α q that are interpreted as cooperative patterns within α distance, and the other is in form p ∧ α ¬q representing competing patterns, with respect to S. We show an efficient algorithm to find the optimal pair of patterns in O(N 2) time using O(N) space. We also present an O(m 2N 2) time and O(m 2N) space solution to a more difficult version of the optimal pattern pair discovery problem, where m denotes the number of strings in S.

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EP - 46

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

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