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The Longest Common Subsequence Problem for Arc-Annotated Sequences

by Tao Jiang, Guo-Hui Lin, Bin Ma, Kaizhong Zhang - In Proc. of 11th CPM, number 1848 in LNCS , 2000
"... . Arc-annotated sequences are useful in representing the structural information of RNA and protein sequences. Recently, the longest arc-preserving common subsequence problem has been introduced in [6, 7] as a framework for studying the similarity of arc-annotated sequences. In this paper, we con ..."
Abstract - Cited by 41 (1 self) - Add to MetaCart
. Arc-annotated sequences are useful in representing the structural information of RNA and protein sequences. Recently, the longest arc-preserving common subsequence problem has been introduced in [6, 7] as a framework for studying the similarity of arc-annotated sequences. In this paper, we

The Longest Common Subsequence Problem for Arc-Annotated Sequences

by Vladimir Popov
"... Arc-annotated sequences are useful in representing the structural in-formation of RNA and protein sequences. The longest arc-preserving common subsequence problem has been introduced in [1], [2] as a frame-work for studying the similarity of arc-annotated sequences. In this paper, we consider arc-an ..."
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Arc-annotated sequences are useful in representing the structural in-formation of RNA and protein sequences. The longest arc-preserving common subsequence problem has been introduced in [1], [2] as a frame-work for studying the similarity of arc-annotated sequences. In this paper, we consider arc-annotated

Exact Algorithms for the Longest Common Subsequence Problem for Arc-Annotated Sequences

by Jiong Guo - Diploma thesis, Universität Tübingen, Fed. Rep. of , 2002
"... Contents 1 Introduction 5 2 Biological Motivation 9 2.1 Some Molecular Biology . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Biological Motivation . . . . . . . . . . . . . . . . . . . . . . . . . 12 3 Some Basic Definitions 13 3.1 LCS and Some Problems from Graph Theory . . . . . . . . . . . ..."
Abstract - Cited by 9 (2 self) - Add to MetaCart
. . . . . . . . . . . . . . . . . . . . . . 29 4.3 Complexity of Arc-Preserving Subsequence Problem . . . . . . . 30 4.4 Overview of This Work . . . . . . . . . . . . . . . . . . . . . . . 31 5 c-fragment, c-diagonal LAPCS 33 5.1 c-fragment<F10

arc-annotated sequences

by Vladimir Yu. Popov
"... ar ..."
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Abstract not found

Pattern Matching for Arc-Annotated Sequences

by Jens Gramm, Jiong Guo, Rolf Niedermeier - In Proc. of 22nd FSTTCS, number 2556 in LNCS , 2002
"... A study of pattern matching for arc-annotated sequences is started. An O(nm) time algorithm is given to determine whether a length m sequence with nested arc annotations is an arc-preserving subsequence of a length n sequence with nested arc annotations, called APS(nested,nested). Arc-annotated ..."
Abstract - Cited by 30 (2 self) - Add to MetaCart
A study of pattern matching for arc-annotated sequences is started. An O(nm) time algorithm is given to determine whether a length m sequence with nested arc annotations is an arc-preserving subsequence of a length n sequence with nested arc annotations, called APS(nested,nested). Arc-annotated

How to compare arc-annotated sequences : the alignment hierarchy

by Guillaume Blin, Hélène Touzet - In 13th Symposium on String Processing and Information Retrieval (SPIRE’06), volume 4209 of LNCS , 2006
"... Abstract. We describe a new unifying framework to express comparison of arc-annotated sequences, which we call alignment of arc-annotated sequences. We first prove that this framework encompasses main existing models, which allows us to deduce complexity results for several cases from the literature ..."
Abstract - Cited by 20 (9 self) - Add to MetaCart
Abstract. We describe a new unifying framework to express comparison of arc-annotated sequences, which we call alignment of arc-annotated sequences. We first prove that this framework encompasses main existing models, which allows us to deduce complexity results for several cases from

The Comparison of RNA Secondary Structures with Nested Arc-Annotation

by Yung-hsing Peng, Chang-biau Yang
"... In recent years, RNA structural comparison becomes a crucial problem in bioinformatics research. Generally, it is a popular approach for representing the RNA secondary structures with arc-annotation sets. Several methods can be used to compare two RNA structures, such as tree edit distance, longest ..."
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In recent years, RNA structural comparison becomes a crucial problem in bioinformatics research. Generally, it is a popular approach for representing the RNA secondary structures with arc-annotation sets. Several methods can be used to compare two RNA structures, such as tree edit distance, longest

Algorithms for the longest common subsequence problem

by Daniel S. Hirschberg - J. ACM , 1977
"... AaS~ACT Two algorithms are presented that solve the longest common subsequence problem The first algorithm is applicable in the general case and requires O(pn + n log n) time where p is the length of the longest common subsequence The second algorithm requires time bounded by O(p(m + 1- p)log n) In ..."
Abstract - Cited by 221 (2 self) - Add to MetaCart
AaS~ACT Two algorithms are presented that solve the longest common subsequence problem The first algorithm is applicable in the general case and requires O(pn + n log n) time where p is the length of the longest common subsequence The second algorithm requires time bounded by O(p(m + 1- p)log n

Author manuscript, published in "19th edition of the International Symposium on String Processing and Information Retrieval (SPIRE 2012), Cartagena de Indias: Colombia (2012)" The longest common subsequence problem with

by Guillaume Blin, Minghui Jiang, Stéphane Vialette , 2012
"... crossing-free arc-annotated sequences ..."
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crossing-free arc-annotated sequences

Fast Arc-Annotated Subsequence Matching in Linear Space

by Philip Bille, Inge Li Gørtz
"... Abstract. An arc-annotated string is a string of characters, called bases, augmented with a set of pairs, called arcs, each connecting two bases. Given arc-annotated strings P and Q the arc-preserving subsequence problem is to determine if P can be obtained from Q by deleting bases from Q. Whenever ..."
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Abstract. An arc-annotated string is a string of characters, called bases, augmented with a set of pairs, called arcs, each connecting two bases. Given arc-annotated strings P and Q the arc-preserving subsequence problem is to determine if P can be obtained from Q by deleting bases from Q. Whenever
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