English

Deterministic Longest Common Subsequence Approximation in Near-Linear Time

Data Structures and Algorithms 2025-07-31 v1

Abstract

We provide a deterministic algorithm that outputs an O(n3/4logn)O(n^{3/4} \log n)-approximation for the Longest Common Subsequence (LCS) of two input sequences of length nn in near-linear time. This is the first deterministic approximation algorithm for LCS that achieves a sub-linear approximation ratio in near-linear time.

Keywords

Cite

@article{arxiv.2507.22486,
  title  = {Deterministic Longest Common Subsequence Approximation in Near-Linear Time},
  author = {Itai Boneh and Shay Golan and Matan Kraus},
  journal= {arXiv preprint arXiv:2507.22486},
  year   = {2025}
}
R2 v1 2026-07-01T04:25:34.482Z