Erdős-Pósa property of $A$-paths in unoriented group-labelled graphs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909994826334208 |
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| author | Kwon, O-joung Yoo, Youngho |
| author_facet | Kwon, O-joung Yoo, Youngho |
| contents | We characterize the obstructions to the Erdős-Pósa property of $A$-paths in unoriented group-labelled graphs. As a result, we prove that for every finite abelian group $Γ$ and for every subset $Λ$ of $Γ$, the family of $Γ$-labelled $A$-paths whose lengths are in $Λ$ satisfies the half-integral Erdős-Pósa property. Moreover, we give a characterization of such $Γ$ and $Λ\subseteqΓ$ for which the same family of $A$-paths satisfies the full Erdős-Pósa property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Erdős-Pósa property of $A$-paths in unoriented group-labelled graphs Kwon, O-joung Yoo, Youngho Combinatorics We characterize the obstructions to the Erdős-Pósa property of $A$-paths in unoriented group-labelled graphs. As a result, we prove that for every finite abelian group $Γ$ and for every subset $Λ$ of $Γ$, the family of $Γ$-labelled $A$-paths whose lengths are in $Λ$ satisfies the half-integral Erdős-Pósa property. Moreover, we give a characterization of such $Γ$ and $Λ\subseteqΓ$ for which the same family of $A$-paths satisfies the full Erdős-Pósa property. |
| title | Erdős-Pósa property of $A$-paths in unoriented group-labelled graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.05372 |