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...

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Bibliographic Details
Main Authors: Łukasz Bożyk, Michał Pilipczuk
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/7099/pdf