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An Efficient Algorithm for the Longest Tandem Scattered Subsequence Problem

机译:最长串联离散子序列问题的一种有效算法

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摘要

The paper deals with the problem of finding a tandem scattered subsequence of maximum length (LTS) for a given character sequence. A sequence is referred to as tandem if it can be split into two identical sequences. An efficient algorithm for the LTS problem is presented and is shown to have O(n~2) computational complexity and linear memory complexity with respect to the length n of the analysed sequence. A conjecture is put forward and discussed, stating that the complexity of the given algorithm may not be easily improved. Finally, the potential application of the solution to the LTS problem in approximate tandem substring matching in DNA sequences is discussed.
机译:本文讨论的问题是找到给定字符序列的最大长度的串联分散子序列(LTS)。如果一个序列可以分为两个相同的序列,则称为串联。提出了一种针对LTS问题的有效算法,该算法相对于分析序列的长度n具有O(n〜2)的计算复杂度和线性存储复杂度。提出并讨论了一个推测,指出给定算法的复杂性可能不容易提高。最后,讨论了解决LTS问题在DNA序列中近似串联子串匹配中的潜在应用。

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