The bunkbed conjecture remains true when gluing along a vertex

Fuente: arXiv
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Main Authors: Meunier, Paul, Pournajafi, Pegah
Format: Preprint
Published: 2024
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_version_ 1866914970176847872
author Meunier, Paul
Pournajafi, Pegah
author_facet Meunier, Paul
Pournajafi, Pegah
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08957
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The bunkbed conjecture remains true when gluing along a vertex
Meunier, Paul
Pournajafi, Pegah
Probability
Combinatorics
60K35 (Primary), 05C80, 60C05 (Secondary)
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.
title The bunkbed conjecture remains true when gluing along a vertex
topic Probability
Combinatorics
60K35 (Primary), 05C80, 60C05 (Secondary)
url https://arxiv.org/abs/2410.08957