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Weighted LeaderRankDefinition
Weighted LeaderRank is a variant to LeaderRank via assigning degreedependent weights onto links
associated with the ground node.
If network is described by an (N+1)dimensional weighted adjacency matrix W, so: (i) if a_{ij} = 0, then w_{ij} = 0; (ii) for any normal node i and the ground node g, w_{gi} = (k^{in}_{i}) and w_{ig} = 1, where is a free parameter; (iii) for all other cases, w_{ij} = 1. After determining the weight of every link, the dynamics follows a biased random walk, namely the score from node j to node i is proportional to the weight w_{ji}: Same to LeaderRank, use final scores in the steady state to quantify nodes’ influences. See also LeaderRank SoftwareReferences
