English

Simulations, Computations, and Statistics for Longest Common Subsequences

Probability 2017-05-22 v1

Abstract

The length of the longest common subsequences (LCSs) is often used as a similarity measurement to compare two (or more) random words. Below we study its statistical behavior in mean and variance using a Monte-Carlo approach from which we then develop a hypothesis testing method for sequences similarity. Finally, theoretical upper bounds are obtained for the Chv\'atal-Sankoff constant of multiple sequences.

Cite

@article{arxiv.1705.06826,
  title  = {Simulations, Computations, and Statistics for Longest Common Subsequences},
  author = {Qingqing Liu and Christian Houdré},
  journal= {arXiv preprint arXiv:1705.06826},
  year   = {2017}
}

Comments

12 pages, 10 figures

R2 v1 2026-06-22T19:52:03.657Z