We provide an efficient method to calculate the pseudo-inverse of the Laplacian of a bipartite graph, which is based on the pseudo-inverse of the normalized Laplacian. (c) 2005 Elsevier Ltd. All rights reserved.
Ho, N., & Van Dooren, P. (2005). On the pseudo-inverse of the Laplacian of a bipartite graph. Applied Mathematics Letters, 18(8), 917-922. https://doi.org/10.1016/j.aml.2004.07.034 (Original work published 2005)