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arXiv · 2511.17156

Splitting vertices of bipartite graphs preserves de Bruijn-Erd\H{o}s property

Laurent Beaudou·Guillermo Gamboa Quintero
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Abstract

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-Erd\H{o}s property.

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Laurent Beaudou, Guillermo Gamboa Quintero. 2025-11-21. Splitting vertices of bipartite graphs preserves de Bruijn-Erd\H{o}s property. https://arxiv.org/abs/2511.17156

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