English

Compact Binary Relation Representations with Rich Functionality

Data Structures and Algorithms 2012-01-18 v1

Abstract

Binary relations are an important abstraction arising in many data representation problems. The data structures proposed so far to represent them support just a few basic operations required to fit one particular application. We identify many of those operations arising in applications and generalize them into a wide set of desirable queries for a binary relation representation. We also identify reductions among those operations. We then introduce several novel binary relation representations, some simple and some quite sophisticated, that not only are space-efficient but also efficiently support a large subset of the desired queries.

Keywords

Cite

@article{arxiv.1201.3602,
  title  = {Compact Binary Relation Representations with Rich Functionality},
  author = {Jérémy Barbay and Francisco Claude and Gonzalo Navarro},
  journal= {arXiv preprint arXiv:1201.3602},
  year   = {2012}
}

Comments

32 pages

R2 v1 2026-06-21T20:05:55.821Z