3If there are no direct connections from 𝑢𝑞 to nodes in 𝑉𝑖 (𝑖 𝑞), we first propagate probability to other nodes in 𝐺𝑞 from 𝑢𝑞 via breadth-first-search layer by layer until we reach a node which has cross-edges to nodes in 𝑉𝑖 . Then we initialize x𝑖 (0) = S𝑞𝑖 P𝑞 𝑡 e𝑞 , where 𝑡 is the number of hops that we first reach the effective node from 𝑢𝑞 in 𝐺𝑞 .