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A Complexity Dichotomy for Edge Subdivision to $H$-Free Graphs
For a fixed graph $H$, \HFS\ asks whether at most $k$ edge subdivisions can make an input graph contain no induced copy of $H$. We establish a complexity dichotomy for every fixed nonempty $H$: the problem is polynomial-time solvable if every component of $H$ is a subdivided star or a subdivided bis
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