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Exercise

Compute adjacency matrix

Now, you'll get some practice using matrices and sparse matrix multiplication to compute projections! In this exercise, you'll use the matrix multiplication operator @ that was introduced in Python 3.5.

You'll continue working with the American Revolution graph. The two partitions of interest here are 'people' and 'clubs'.

Instructions
100 XP
  • Get the list of people and list of clubs from the graph G using the get_nodes_from_partition() function that you defined in the previous chapter. This function accepts two parameters: A graph, and a partition.
  • Compute the biadjacency matrix using nx.bipartite.biadjacency_matrix(), setting the row_order parameter to people_nodes and the column_order parameter to clubs_nodes. Remember to also pass in the graph G.
  • Compute the user-user projection by multiplying (with the @ operator) the biadjacency matrix bi_matrix by its transposition, bi_matrix.T.