Splitting vertices of bipartite graphs preserves de Bruijn-Erdős property

Fuente: arXiv
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Main Authors: Beaudou, Laurent, Quintero, Guillermo Gamboa
Format: Preprint
Published: 2025
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author Beaudou, Laurent
Quintero, Guillermo Gamboa
author_facet Beaudou, Laurent
Quintero, Guillermo Gamboa
contents In this note, we prove that every graph obtained from a bipartite graph by iteratively splitting vertices into two adjacent twins has the de Bruijn-Erdős property.
format Preprint
id arxiv_https___arxiv_org_abs_2511_17156
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Splitting vertices of bipartite graphs preserves de Bruijn-Erdős property
Beaudou, Laurent
Quintero, Guillermo Gamboa
Discrete Mathematics
Combinatorics
In this note, we prove that every graph obtained from a bipartite graph by iteratively splitting vertices into two adjacent twins has the de Bruijn-Erdős property.
title Splitting vertices of bipartite graphs preserves de Bruijn-Erdős property
topic Discrete Mathematics
Combinatorics
url https://arxiv.org/abs/2511.17156