“…The random walks on complex networks was of typical interest in various kinds of scientific fields, such as statistics physics, combinatorial mathematics, computer science, chemistry, social and economic science as well as biological science [10][11][12][13][14]. Random walks were not merely an effective instrument to solve various problems, and have found diverse applications in real-world networks, for example, routing [15], searching [16], sampling [17] and data collection [18,19], community detection [20,21], network synchronization [22,23], random algorithm [24,25], and so on [26][27][28].…”