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arXiv · 2208.07789

Polynomial kernel for immersion hitting in tournaments

Łukasz Bożyk·Michał Pilipczuk
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Abstract

For a fixed simple digraph $H$ without isolated vertices, we consider the problem of deleting arcs from a given tournament to get a digraph which does not contain $H$ as an immersion. We prove that for every $H$, this problem admits a polynomial kernel when parameterized by the number of deleted arcs. The degree of the bound on the kernel size depends on $H$.

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Łukasz Bożyk, Michał Pilipczuk. 2022-08-16. Polynomial kernel for immersion hitting in tournaments. https://arxiv.org/abs/2208.07789

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