Erdős-Pósa property for labelled minors: 2-connected minors
In the 1960s, Erd\H{o}s and P\'osa proved that there is a packing-covering duality for cycles in graphs. As part of the graph minor project, Robertson and Seymour greatly extended this: there is such a duality for $H$-expansions in graphs if and only if $H$ is a planar graph (this includes the...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
1 May 2018
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| In: |
Arxiv
Year: 2018, Pages: 1-25 |
| DOI: | 10.48550/arXiv.1805.00426 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.1805.00426 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1805.00426 
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| Verfasserangaben: | Henning Bruhn, Felix Joos, Oliver Schaudt |
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| 520 | |a In the 1960s, Erd\H{o}s and P\'osa proved that there is a packing-covering duality for cycles in graphs. As part of the graph minor project, Robertson and Seymour greatly extended this: there is such a duality for $H$-expansions in graphs if and only if $H$ is a planar graph (this includes the previous result for $H=K_3$). We consider vertex labelled graphs and minors and provide such a characterisation for $2$-connected labelled graphs $H$. | ||
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