The bunkbed conjecture remains true when gluing along a vertex
Probability
2024-10-14 v1 Combinatorics
Abstract
We show that the bunkbed conjecture remains true when gluing along a vertex. As immediate corollaries, we obtain that the bunkbed conjecture is true for forests and that a minimal counterexample to the bunkbed conjecture is 2-connected.
Cite
@article{arxiv.2410.08957,
title = {The bunkbed conjecture remains true when gluing along a vertex},
author = {Paul Meunier and Pegah Pournajafi},
journal= {arXiv preprint arXiv:2410.08957},
year = {2024}
}
Comments
9 pages, 2 figures