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arXiv · 2003.03236

On the edge-Erdős-Pósa property of Ladders

Raphael Steck·Arthur Ulmer
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Abstract

We prove that the ladder with $3$~rungs and the house graph have the edge-Erdős-Pósa property, while ladders with $14$~rungs or more have not. Additionally, we prove that the latter bound is optimal in the sense that the only known counterexample graph does not permit a better result.

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Raphael Steck, Arthur Ulmer. 2024-04-13. On the edge-Erdős-Pósa property of Ladders. https://doi.org/10.1007/s00373-024-02765-w

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