### Abstract

Sequence comparison is & fundamental task in pattern matching. Its applications include file comparison, spelling correction, information retrieval, and computing (dis)similarities between biological sequences. A common scheme for sequence comparison is the longest common subsequence (LCS) metric. This paper considers the fully incremental LCS computation problem as follows: For any strings A, B and characters a, b, compute LCS(aA, B), LCS(A, bB), LCS(Aa, B), and LCS(A, Bb), provided that L = LCS(A, B) is already computed. We present an efficient algorithm that computes the four LCS values above, in O(L) or O(n) time depending on where a new character is added, where n is the length of A. Our algorithm is superior in both time and space complexities to the previous known methods.

Original language | English |
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Pages (from-to) | 563-574 |

Number of pages | 12 |

Journal | Lecture Notes in Computer Science |

Volume | 3623 |

Publication status | Published - Oct 24 2005 |

Event | 15th International Symposium on Fundamentals of Computation Theory, FCT 2005 - Lubeck, Germany Duration: Aug 17 2005 → Aug 20 2005 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Lecture Notes in Computer Science*,

*3623*, 563-574.