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Find all maximum matchings in a bipartite graph. And how to relabel edges of a bipartite graph in sage?

I want to find all the maximum matchings in a bipartite graph using sage, an algorithm is given in "Finding all maximally-matchable edges in a bipartite graph " by Tamir Tassa. Also, I want to relabel the edges of my bipartite graph from 0,1,2,.. to y_1, y_2, x_1,.. ,x_1 (dot),...