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On the Erd\H{o}s-P\'osa property for immersions and topological minors in tournaments

We consider the Erd\H{o}s-P\'osa property for immersions and topological minors in tournaments. We prove that for every simple digraph $H$, $k\in \mathbb{N}$, and tournament $T$, the following statements hold: (i) If in $T$ one cannot find $k$ arc-disjoint immersion copies of $H$, then there exist...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Hauptverfasser: Łukasz Bożyk, Michał Pilipczuk
Format: Artigo
Sprache:Inglês
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2022-04-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
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Online-Zugang:https://dmtcs.episciences.org/7099/pdf
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