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一種帶匹配路徑約束的最長公共子序列長度算法

王前東*

王前東*. 一種帶匹配路徑約束的最長公共子序列長度算法[J]. 電子與信息學報, 2017, 39(11): 2615-2619. doi: 10.11999/JEIT170092
引用本文: 王前東*. 一種帶匹配路徑約束的最長公共子序列長度算法[J]. 電子與信息學報, 2017, 39(11): 2615-2619. doi: 10.11999/JEIT170092
WANG Qiandong. A Matching Path Constrained Longest Common Subsequence Length Algorithm[J]. Journal of Electronics & Information Technology, 2017, 39(11): 2615-2619. doi: 10.11999/JEIT170092
Citation: WANG Qiandong. A Matching Path Constrained Longest Common Subsequence Length Algorithm[J]. Journal of Electronics & Information Technology, 2017, 39(11): 2615-2619. doi: 10.11999/JEIT170092

一種帶匹配路徑約束的最長公共子序列長度算法

doi: 10.11999/JEIT170092

A Matching Path Constrained Longest Common Subsequence Length Algorithm

  • 摘要: 在帶約束的最長公共子序列問題中提出一種特殊的新問題:假設有兩序列Q和C, Q中指定的匹配位置序列I,計算兩序列Q和C的最長公共子序列,且這個最長公共子序列的匹配路徑必須經(jīng)過位置序列I。針對此問題,該文提出一種帶匹配路徑約束的最長公共子序列算法。首先定義帶匹配路徑約束的最長公共子序列模型,其次推出該序列的性質(zhì),最后求出帶匹配路徑約束的最長公共子序列長度的基礎算法和快速算法?;A算法和快速算法時間復雜度分別為O(mnt)和O(mn), m, n, t分別為序列Q, C, I的長度。
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出版歷程
  • 收稿日期:  2017-01-23
  • 修回日期:  2017-08-19
  • 刊出日期:  2017-11-19

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