Deterministic Longest Common Subsequence Approximation in Near-Linear Time

Itai Boneh; Shay Golan; Matan Kraus

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arXiv · 2507.22486

Deterministic Longest Common Subsequence Approximation in Near-Linear Time

Itai Boneh·Shay Golan·Matan Kraus

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Abstract

We provide a deterministic algorithm that outputs an $O(n^{3/4} \log n)$-approximation for the Longest Common Subsequence (LCS) of two input sequences of length $n$ in near-linear time. This is the first deterministic approximation algorithm for LCS that achieves a sub-linear approximation ratio in near-linear time.

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BibTeX RIS

Itai Boneh, Shay Golan, Matan Kraus. 2025-07-30. Deterministic Longest Common Subsequence Approximation in Near-Linear Time. https://arxiv.org/abs/2507.22486

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