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$K_4$-subdivisions have the edge-Erdős-Pósa property
Henning Bruhn, Matthias Heinlein · 2018-08-31 · via math.CO updates on arXiv.org

We prove that every graph $G$ contains either $k$ edge-disjoint $K_4$-subdivisions or a set $X$ of at most $O(k^8 \log k)$ edges such that $G-X$ does not contain any $K_4$-subdivision. This shows that $K_4$-subdivisions have the edge-Erdős-Pósa property.

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