I have a bipartite network so that each node from one set has to pass through the nodes in the other set before returning to any node in the same set, Google example image. If we call the first set G and the other set H, is it always true that
$$ P(G_j | G_i ) = \sum_k ( P(G_j | H_k ) * P(H_k | G_i ) ) ? $$