Reviewer # 2: (I) Our algorithm can handle > 2 protected groups: in our numerical results, there are up to five protected

We sincerely thank all of you for the detailed, thoughtful, and constructive comments and feedback. We added a table of racial composition data for all networks. We incorporated all the recommendations. We improve clarity of Th. 1 by adding "In this formulation, there are two sets of variables: a) We will provide a head-to-head comparison with Table 1. We will release the code and a "readme" file with instructions, detailing the sequence of the runs.