English

Compressed Set Representations based on Set Difference

Data Structures and Algorithms 2026-02-02 v1

Abstract

We introduce a compressed representation of sets of sets that exploits how much they differ from each other. Our representation supports access, membership, predecessor and successor queries on the sets within logarithmic time. In addition, we give a new MST-based construction algorithm for the representation that outperforms standard ones.

Keywords

Cite

@article{arxiv.2601.23240,
  title  = {Compressed Set Representations based on Set Difference},
  author = {Travis Gagie and Meng He and Gonzalo Navarro},
  journal= {arXiv preprint arXiv:2601.23240},
  year   = {2026}
}

Comments

To be presented at LATIN 2026