Tight Kernel Bounds for Problems on Graphs with Small Degeneracy

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Publication:4554933

DOI10.1145/3108239zbMATH Open1451.68137arXiv1305.4914OpenAlexW2153676433MaRDI QIDQ4554933

Author name not available (Why is that?)

Publication date: 12 November 2018

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1305.4914



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