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The diffusion state distance (DSD) was introduced by Cao-Zhang-Park-Daniels-Crovella-Cowen-Hescott [ PLoS ONE, 2013] to capture functional similarity in protein-protein interaction networks. They proved the convergence of DSD for non-bipartite graphs. In this paper, we extend the DSD to bipartite graphs using lazy-random walks and consider the general L_q-version of DSD. We discovered the connection between the DSD L_q-distance and Green's function, which was studied by Chung and Yau [ J.arXiv:1410.3168v1 fatcat:vdh5u637wvgvtdtezkwtwlf64a