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The Cartographer
Longest Common Subsequence in Sublinear Space
September 18, 2020 Β· Declared Dead Β· π Information Processing Letters
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Authors
Masashi Kiyomi, Takashi Horiyama, Yota Otachi
arXiv ID
2009.08588
Category
cs.DS: Data Structures & Algorithms
Citations
9
Venue
Information Processing Letters
Last Checked
4 months ago
Abstract
We present the first $\mathrm{o}(n)$-space polynomial-time algorithm for computing the length of a longest common subsequence. Given two strings of length $n$, the algorithm runs in $\mathrm{O}(n^{3})$ time with $\mathrm{O}\left(\frac{n \log^{1.5} n}{2^{\sqrt{\log n}}}\right)$ bits of space.
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