Shubhang Kulkarni

An iterative rounding $2$-approximation for Feedback Vertex Set via AI-assisted proof of an extreme point property

We consider the Feedback Vertex Set problem (FVS): the input is an undirected graph $G=(V,E)$ and the goal is to find a minimum-cardinality (or a min-cost in the weighted case) subset $S \subseteq V$ of vertices such that $G-S$ has no cycles. A $2$-approximation via the local-ratio method was developed in the mid 90's...