A fast parallel algorithm for finding the longest common sequence of multiple biosequences

<p>Abstract</p> <p>Background</p> <p>Searching for the longest common sequence (LCS) of multiple biosequences is one of the most fundamental tasks in bioinformatics. In this paper, we present a parallel algorithm named FAST_LCS to speedup the computation for finding LCS...

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Main Authors: Wan Andrew, Chen Yixin, Liu Wei
Format: Article
Language:English
Published: BMC 2006-12-01
Series:BMC Bioinformatics
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author Wan Andrew
Chen Yixin
Liu Wei
author_facet Wan Andrew
Chen Yixin
Liu Wei
author_sort Wan Andrew
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>Searching for the longest common sequence (LCS) of multiple biosequences is one of the most fundamental tasks in bioinformatics. In this paper, we present a parallel algorithm named FAST_LCS to speedup the computation for finding LCS.</p> <p>Results</p> <p>A fast parallel algorithm for LCS is presented. The algorithm first constructs a novel successor table to obtain all the identical pairs and their levels. It then obtains the LCS by tracing back from the identical character pairs at the last level. Effective pruning techniques are developed to significantly reduce the computational complexity. Experimental results on gene sequences in the <it>tigr </it>database show that our algorithm is optimal and much more efficient than other leading LCS algorithms.</p> <p>Conclusion</p> <p>We have developed one of the fastest parallel LCS algorithms on an MPP parallel computing model. For two sequences <it>X </it>and <it>Y </it>with lengths <it>n </it>and <it>m</it>, respectively, the memory required is max{4*(<it>n</it>+1)+4*(<it>m</it>+1), <it>L</it>}, where <it>L </it>is the number of identical character pairs. The time complexity is O(<it>L</it>) for sequential execution, and <it>O</it>(|LCS(<it>X</it>, <it>Y</it>)|) for parallel execution, where |LCS(<it>X</it>, <it>Y</it>)| is the length of the LCS of <it>X </it>and <it>Y</it>. For <it>n </it>sequences <it>X</it><sub>1</sub>, <it>X</it><sub>2</sub>, ..., <it>X</it><sub><it>n</it></sub>, the time complexity is O(<it>L</it>) for sequential execution, and <it>O</it>(|LCS(<it>X</it><sub>1</sub>, <it>X</it><sub>2</sub>, ..., <it>X</it><sub><it>n</it></sub>)|) for parallel execution. Experimental results support our analysis by showing significant improvement of the proposed method over other leading LCS algorithms.</p>
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spelling doaj.art-dfc264ab7a144869a5bfbfaef46195282022-12-22T03:07:45ZengBMCBMC Bioinformatics1471-21052006-12-017Suppl 4S410.1186/1471-2105-7-S4-S4A fast parallel algorithm for finding the longest common sequence of multiple biosequencesWan AndrewChen YixinLiu Wei<p>Abstract</p> <p>Background</p> <p>Searching for the longest common sequence (LCS) of multiple biosequences is one of the most fundamental tasks in bioinformatics. In this paper, we present a parallel algorithm named FAST_LCS to speedup the computation for finding LCS.</p> <p>Results</p> <p>A fast parallel algorithm for LCS is presented. The algorithm first constructs a novel successor table to obtain all the identical pairs and their levels. It then obtains the LCS by tracing back from the identical character pairs at the last level. Effective pruning techniques are developed to significantly reduce the computational complexity. Experimental results on gene sequences in the <it>tigr </it>database show that our algorithm is optimal and much more efficient than other leading LCS algorithms.</p> <p>Conclusion</p> <p>We have developed one of the fastest parallel LCS algorithms on an MPP parallel computing model. For two sequences <it>X </it>and <it>Y </it>with lengths <it>n </it>and <it>m</it>, respectively, the memory required is max{4*(<it>n</it>+1)+4*(<it>m</it>+1), <it>L</it>}, where <it>L </it>is the number of identical character pairs. The time complexity is O(<it>L</it>) for sequential execution, and <it>O</it>(|LCS(<it>X</it>, <it>Y</it>)|) for parallel execution, where |LCS(<it>X</it>, <it>Y</it>)| is the length of the LCS of <it>X </it>and <it>Y</it>. For <it>n </it>sequences <it>X</it><sub>1</sub>, <it>X</it><sub>2</sub>, ..., <it>X</it><sub><it>n</it></sub>, the time complexity is O(<it>L</it>) for sequential execution, and <it>O</it>(|LCS(<it>X</it><sub>1</sub>, <it>X</it><sub>2</sub>, ..., <it>X</it><sub><it>n</it></sub>)|) for parallel execution. Experimental results support our analysis by showing significant improvement of the proposed method over other leading LCS algorithms.</p>
spellingShingle Wan Andrew
Chen Yixin
Liu Wei
A fast parallel algorithm for finding the longest common sequence of multiple biosequences
BMC Bioinformatics
title A fast parallel algorithm for finding the longest common sequence of multiple biosequences
title_full A fast parallel algorithm for finding the longest common sequence of multiple biosequences
title_fullStr A fast parallel algorithm for finding the longest common sequence of multiple biosequences
title_full_unstemmed A fast parallel algorithm for finding the longest common sequence of multiple biosequences
title_short A fast parallel algorithm for finding the longest common sequence of multiple biosequences
title_sort fast parallel algorithm for finding the longest common sequence of multiple biosequences
work_keys_str_mv AT wanandrew afastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences
AT chenyixin afastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences
AT liuwei afastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences
AT wanandrew fastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences
AT chenyixin fastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences
AT liuwei fastparallelalgorithmforfindingthelongestcommonsequenceofmultiplebiosequences