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- W2951247684 abstract "The 2-LCPS problem, first introduced by Chowdhury et al. [Fundam. Inform., 129(4):329-340, 2014], asks one to compute (the length of) a longest palindromic common subsequence between two given strings $A$ and $B$. We show that the 2-LCPS problem is at least as hard as the well-studied longest common subsequence problem for four strings (the 4-LCS problem). Then, we present a new algorithm which solves the 2-LCPS problem in $O(sigma M^2 + n)$ time, where $n$ denotes the length of $A$ and $B$, $M$ denotes the number of matching positions between $A$ and $B$, and $sigma$ denotes the number of distinct characters occurring in both $A$ and $B$. Our new algorithm is faster than Chowdhury et al.'s sparse algorithm when $sigma = o(log^2n loglog n)$." @default.
- W2951247684 created "2019-06-27" @default.
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- W2951247684 date "2016-12-22" @default.
- W2951247684 modified "2023-10-16" @default.
- W2951247684 title "A hardness result and new algorithm for the longest common palindromic subsequence problem" @default.
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- W2951247684 doi "https://doi.org/10.48550/arxiv.1612.07475" @default.
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