English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the Erd\H{o}s-P\'osa property for immersions and topologicalminors 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 $H$, thenthere exists a set of $\mathcal{O}_H(k^3)$ arcs that intersects all immersioncopies of $H$ in $T$.  (ii) If in $T$ one cannot find $k$ vertex-disjoint topological minor copiesof $H$, then there exists a set of $\mathcal{O}_H(k\log k)$ vertices thatintersects all topological minor copies of $H$ in $T$.  This improves the results of Raymond [DMTCS '18], who proved similarstatements under the assumption that $H$ is strongly connected.

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