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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). © 2013 Elsevier B.V. All rights reserved.
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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
JCR Journal Grade:4
CAS Journal Grade:4
Cited Count:
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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