Dirichlet PageRank and Ranking Algorithms Based on Trust and Distrust

@article{Graham2013DirichletPA,
  title={Dirichlet PageRank and Ranking Algorithms Based on Trust and Distrust},
  author={Fan Chung Graham and Alexander Tsiatas and Wensong Xu},
  journal={Internet Mathematics},
  year={2013},
  volume={9},
  pages={113 - 134}
}
Motivated by numerous models of representing trust and distrust within a network ranking system, we examine a quantitative vertex ranking with consideration of the influence of a subset of nodes. We propose and analyze a general ranking metric, called Dirichlet PageRank, which gives a ranking of vertices in a subset S of nodes subject to some specified conditions on the vertex boundary of S. In addition to the usual Dirichlet boundary condition (which disregards the influence of nodes outside… 
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