The Hopcroft-Karp algorithm can be used for finding maximum matching in a bipartite graph. This algorithm takes the bipartite graph as input and returns the maximum matching. You can refer this wikipedia page to read more about the algorithm:
For implementation in MATLAB, consider starting with representing your graph using adjacency lists or matrices. MATLAB's data structures and built-in functions can be very helpful. Try breaking down the algorithm into smaller steps, such as constructing the graph and implementing BFS and DFS to find and augment paths.
Hope this helps!
