English

Separating edges by linearly many subdivisions

Combinatorics 2025-06-18 v1

Abstract

We prove that for any two graphs GG and HH, the edges of GG can be strongly separated by a collection of linearly many subdivisions of HH and single edges. This confirms a conjecture of Botler and Naia.

Keywords

Cite

@article{arxiv.2506.14011,
  title  = {Separating edges by linearly many subdivisions},
  author = {George Kontogeorgiou and Matias Pavez-Signe and Maya Stein and S Taruni and Ana Trujillo-Negrete},
  journal= {arXiv preprint arXiv:2506.14011},
  year   = {2025}
}

Comments

12 pages, 5 figures

R2 v1 2026-07-01T03:20:45.061Z