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author:

Wang, Lei (Wang, Lei.) [1] | Wang, Xiaodong (Wang, Xiaodong.) [2] | Wu, Yingjie (Wu, Yingjie.) [3] | Zhu, Daxin (Zhu, Daxin.) [4]

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EI Scopus SCIE

Abstract:

In this paper, we consider a generalized longest common subsequence problem, the string-excluding constrained LCS problem. For the two input sequences X and Y of lengths n and m, and a constraint string P of length r, the problem is to find a common subsequence Z of X and Y excluding P as a substring and the length of Z is maximized. The problem and its solution were first proposed by Chen and Chao (2011) [1], but we found that their algorithm cannot solve the problem correctly. A new dynamic programming solution for the STR-EC-LCS problem is then presented in this paper. The correctness of the new algorithm is proved. The time complexity of the new algorithm is O (nmr). (C) 2013 Elsevier B.V. All rights reserved.

Keyword:

Design of algorithms Dynamic programming Generalized LCS Longest common subsequence

Community:

  • [ 1 ] [Wang, Lei]Microsoft AdCtr, Bellevue, WA 98004 USA
  • [ 2 ] [Wang, Xiaodong]Quanzhou Normal Univ, Fac Math & Comp Sci, Quanzhou, Peoples R China
  • [ 3 ] [Zhu, Daxin]Quanzhou Normal Univ, Fac Math & Comp Sci, Quanzhou, Peoples R China
  • [ 4 ] [Wang, Xiaodong]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China
  • [ 5 ] [Wu, Yingjie]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China

Reprint 's Address:

  • 王晓东

    [Wang, Xiaodong]Quanzhou Normal Univ, Fac Math & Comp Sci, Quanzhou, Peoples R China

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Source :

INFORMATION PROCESSING LETTERS

ISSN: 0020-0190

Year: 2013

Issue: 19-21

Volume: 113

Page: 723-728

0 . 4 7 9

JCR@2013

0 . 7 0 0

JCR@2023

ESI Discipline: COMPUTER SCIENCE;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 12

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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