Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Let $G$ be a bipartite graph with vertex set $V=V_1 \cup V_2$.
If $\mid V_1\mid= n$ and $\mid V_2\mid=m$ with $m\leq n$, then how to find all minimal vertex cover?
This is largely dependent from bipartite graph to bipartite graph, Konig's Theorem states that the size of the minimal vertex cover is the size of the maximal matching. In your case, the largest matching can be at most $m$. Also see Hall's Theorem.
Required, but never shown