An Algorithm for the Longest Common Subsequence and Substring Problem for Multiple Strings

Rao Li

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arXiv · 2411.09472

An Algorithm for the Longest Common Subsequence and Substring Problem for Multiple Strings

Rao Li

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Abstract

Let $X_1, X_2, ..., X_s$ and $Y_1, Y_2, ..., Y_t$ be strings over an alphabet $\Sigma$, where $s$ and $t$ are positive integers. The longest common subsequence and substring problem for multiple strings $X_1, X_2, ..., X_s$ and $Y_1, Y_2, ..., Y_t$ is to find the longest string which is a subsequence of $X_1, X_2, ..., X_s$ and a substring of $Y_1, Y_2, ..., Y_t$. In this paper, we propose an algorithm to solve the problem.

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Rao Li. 2024-11-14. An Algorithm for the Longest Common Subsequence and Substring Problem for Multiple Strings. https://arxiv.org/abs/2411.09472

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