论文标题

浸入锦标赛的多项式内核

Polynomial kernel for immersion hitting in tournaments

论文作者

Bożyk, Łukasz, Pilipczuk, Michał

论文摘要

对于不隔离顶点的固定简单的Digraph $ h $,我们考虑从给定比赛中删除弧线的问题,以获取不包含$ h $沉浸的digraph。我们证明,在每$ h $中,当通过已删除的弧数参数化时,此问题就会承认一个多项式内核。内核大小的界限取决于$ h $。

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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