Separating edges by linearly many subdivisions

Fuente: arXiv
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Autori principali: Kontogeorgiou, George, Pavez-Signe, Matias, Stein, Maya, Taruni, S, Trujillo-Negrete, Ana
Natura: Preprint
Pubblicazione: 2025
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author Kontogeorgiou, George
Pavez-Signe, Matias
Stein, Maya
Taruni, S
Trujillo-Negrete, Ana
author_facet Kontogeorgiou, George
Pavez-Signe, Matias
Stein, Maya
Taruni, S
Trujillo-Negrete, Ana
contents We prove that for any two graphs $G$ and $H$, the edges of $G$ can be strongly separated by a collection of linearly many subdivisions of $H$ and single edges. This confirms a conjecture of Botler and Naia.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14011
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Separating edges by linearly many subdivisions
Kontogeorgiou, George
Pavez-Signe, Matias
Stein, Maya
Taruni, S
Trujillo-Negrete, Ana
Combinatorics
05C38, 05C83
We prove that for any two graphs $G$ and $H$, the edges of $G$ can be strongly separated by a collection of linearly many subdivisions of $H$ and single edges. This confirms a conjecture of Botler and Naia.
title Separating edges by linearly many subdivisions
topic Combinatorics
05C38, 05C83
url https://arxiv.org/abs/2506.14011