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Preprint Sep 2026

NP-Hardness of the $H$-Free Edge-Deletion Problem

For a graph $H$, the $H$-freeness edge-deletion problem is the algorithmic problem of finding, for an input graph $G$, the minimum number of edges of $G$ whose deletion turns $G$ into an $H$-free graph. We show that for every graph $H$ containing a cycle, this problem is NP-hard. This proves a conjecture of Gishboliner...

Lior Gishboliner, E. Honest · 1 citation

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