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arXiv · 1707.02918

Frames, $A$-paths and the Erdős-Pósa property

Henning Bruhn·Matthias Heinlein·Felix Joos
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Abstract

A key feature of Simonovits' proof of the classic Erdős-Pósa theorem is a simple subgraph of the host graph, a frame, that determines the outcome of the theorem. We transfer this frame technique to $A$-paths. With it we deduce a simple proof of Gallai's theorem, although with a worse bound, and we verify the Erdős-Pósa property for long and for even $A$-paths. We also show that even $A$-paths do not have the edge-Erdős-Pósa property.

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BibTeXRIS

Henning Bruhn, Matthias Heinlein, Felix Joos. 2018-01-23. Frames, $A$-paths and the Erdős-Pósa property. https://arxiv.org/abs/1707.02918

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