English

Separations of sets

Combinatorics 2025-05-16 v1

Abstract

Abstract separation systems are a new unifying framework in which separations of graph, matroids and other combinatorial structures can be expressed and studied. We characterize the abstract separation systems that have representations as separation systems of graphs, sets, or set bipartitions.

Keywords

Cite

@article{arxiv.1809.00625,
  title  = {Separations of sets},
  author = {Nathan Bowler and Jay Lilian Kneip},
  journal= {arXiv preprint arXiv:1809.00625},
  year   = {2025}
}
R2 v1 2026-06-23T03:52:52.036Z