Understanding the solution to maximum bipartite matching problem

The maximum bipartite matching problem can be solved by converting it into a maximum flow problem. To solve the problem, we create the corresponding flow network for the bipartite graph and run an algorithm to find the maximum flow in the flow network. The maximum flow in the flow network is the maximum matching of the bipartite graph. We will prove this later in the course.

Consider a bipartite graph with nodes separated in two disjoint sets, L and R, with some edges connecting nodes in these sets.