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arXiv · 2007.11643

Space-Efficient Graph Kernelizations

Frank Kammer·Andrej Sajenko
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Abstract

Let $n$ be the size of a parameterized problem and $k$ the parameter. We present kernels for Feedback Vertex Set, Path Contraction and Cluster Editing/Deletion whose sizes are all polynomial in $k$ and that are computable in polynomial time and with $O(\rm{poly}(k) \log n)$ bits (of working memory). By using kernel cascades, we obtain the best known kernels in polynomial time with $O(\rm{poly}(k) \log n)$ bits.

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Frank Kammer, Andrej Sajenko. 2020-07-22. Space-Efficient Graph Kernelizations. https://arxiv.org/abs/2007.11643

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