“…Further more, pairwise vertex similarity is a fundamental index for many network functions and physical systems [53,54]. That is to say, the proposed similarity index can find applications in solving many network-related problems, such as link predication [55,56], community detection [57,58,59], spreading activation [60], network evolution [61,62], web searching [63,64], data clustering [65,66], and gene ranking [67]. By contrast, it would be hard for the hybrid transition matrix to be applied to solve these problems.…”