English

Unique paired vs edge-vertex minimum dominating sets in trees

Combinatorics 2025-12-01 v2

Abstract

We prove that the class of trees with unique minimum edge-vertex dominating sets is equivalent to the class of trees with unique minimum paired dominating sets.

Keywords

Cite

@article{arxiv.2503.11996,
  title  = {Unique paired vs edge-vertex minimum dominating sets in trees},
  author = {Mateusz Miotk and Michał Zakrzewski and Paweł Żyliński},
  journal= {arXiv preprint arXiv:2503.11996},
  year   = {2025}
}
R2 v1 2026-06-28T22:21:39.904Z