The edge-Erdős-Pósa property
Robertson and Seymour proved that the family of all graphs containing a fixed graph $H$ as a minor has the Erd\H{o}s-P\'osa property if and only if $H$ is planar. We show that this is no longer true for the edge version of the Erd\H{o}s-P\'osa property, and indeed even fails when $H$ is an...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
28 Sep 2018
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| In: |
Arxiv
Year: 2018, Pages: 1-22 |
| DOI: | 10.48550/arXiv.1809.11038 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.1809.11038 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1809.11038 
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| Verfasserangaben: | Henning Bruhn, Matthias Heinlein, Felix Joos |
MARC
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| 520 | |a Robertson and Seymour proved that the family of all graphs containing a fixed graph $H$ as a minor has the Erd\H{o}s-P\'osa property if and only if $H$ is planar. We show that this is no longer true for the edge version of the Erd\H{o}s-P\'osa property, and indeed even fails when $H$ is an arbitrary subcubic tree of large pathwidth or a long ladder. This answers a question of Raymond, Sau and Thilikos. | ||
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