Weighted LeaderRank
Definition
Weighted LeaderRank is a variant to LeaderRank via assigning degree-dependent weights onto links
associated with the ground node.
If network is described by an (N+1)-dimensional weighted adjacency matrix W, so: (i) if aij = 0, then wij = 0; (ii) for any normal node i and the ground node g, wgi = (kini) and wig = 1, where is a free parameter; (iii) for all other cases, wij = 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 wji:
Same to LeaderRank, use final scores in the steady state to quantify nodes’ influences.
See also LeaderRank
If network is described by an (N+1)-dimensional weighted adjacency matrix W, so: (i) if aij = 0, then wij = 0; (ii) for any normal node i and the ground node g, wgi = (kini) and wig = 1, where is a free parameter; (iii) for all other cases, wij = 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 wji:
See also LeaderRank
Software
References
- LI, Q., ZHOU, T., LÜ, L. & CHEN, D. 2014. Identifying influential spreaders by weighted LeaderRank. Physica A: Statistical Mechanics and its Applications, 404, 47-55.
DOI: 10.1016/j.physa.2014.02.041
