Note that, (I • M ) in most case is not stochastic and must not be transformed into a stochastic transitional matrix, as the transformation will collapse the global context of I. IRW is different to PageRank on weighted graph, weighted or personalized PageRank and their variations e.g, (Xing and Ghorbani, 2004;Haveliwala, 2002), among others.
weighted PageRank integrates influence scores into the stochastic transitional matrix.