Generating all non-isomorphic bipartite graphs of certain partitions
Hi everyone. I'm new here and I'm also new in using Sage. I hope someone here could help with what I am trying to do.
I would like to generate all non-isomorphic bipartite graphs given certain partitions. In other words, if K(m,n) is the complete bipartite graph with m and n being the number of vertices in each of its partitions, then what I would like to find is all the spanning subgraphs of K(m,n). These graphs would be bipartite and can be partitioned into two sets with one set having m elements while the other have n.
That's it. How could I find all non-isomorphic bipartite graphs with bi-partitions of sizes n and m respectively?
Thank you!