English

Asymptotically Optimal Representation of Palindromic Structure

Data Structures and Algorithms 2025-12-01 v3

Abstract

We introduce an asymptotically optimal representation of the Manacher array of a string that supports constant-time access. The approach relies on the combinatorial properties of palindromes, yielding a compact yet efficient structure. This work fits within the broader study of compressed text indexing and highlights structural aspects of palindromic substrings that may inspire further algorithmic applications.

Keywords

Cite

@article{arxiv.2410.09984,
  title  = {Asymptotically Optimal Representation of Palindromic Structure},
  author = {Michael Itzhaki},
  journal= {arXiv preprint arXiv:2410.09984},
  year   = {2025}
}

Comments

Full version, accepted to SOFSEM26

R2 v1 2026-06-28T19:19:44.183Z