# 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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