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arXiv · 1305.4914

Tight Kernel Bounds for Problems on Graphs with Small Degeneracy

Marek Cygan·Fabrizio Grandoni·Danny Hermelin
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Abstract

In this paper we consider kernelization for problems on d-degenerate graphs, i.e. graphs such that any subgraph contains a vertex of degree at most $d$. This graph class generalizes many classes of graphs for which effective kernelization is known to exist, e.g. planar graphs, H-minor free graphs, and H-topological-minor free graphs. We show that for several natural problems on d-degenerate graphs the best known kernelization upper bounds are essentially tight.

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Marek Cygan, Fabrizio Grandoni, Danny Hermelin. 2013-06-23. Tight Kernel Bounds for Problems on Graphs with Small Degeneracy. https://arxiv.org/abs/1305.4914

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