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1. Polynomial kernel for immersion hitting in tournaments

Author

Bożyk, Łukasz and Pilipczuk, Michał

Subjects
Computer Science - Data Structures and Algorithms, Computer Science - Discrete Mathematics, 05C85, F.2.2, G.2.2
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 $H$., Comment: Full version of a paper accepted to ESA 2022

Published
2022

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