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Table 1 Overview of the different approaches for approximating \(p_{uv}\)

From: Efficient algorithm to compute Markov transitional probabilities for a desired PageRank

Approach

 

Random

\(p_{uv} \propto 1\)

Indegree

\(p_{uv} \propto \lvert \{ k \vert (k,v) \in E \}\rvert \)

Jaccard

\(p_{uv} \propto \frac{\lvert \{ k \vert (u,k) \in E \wedge (v,k) \in E \}\rvert }{\lvert \{ k \vert (u,k) \in E \vee (v,k) \in E \}\rvert }\)

Traffic

\(p_{uv} \propto \pi _{v}^{*}\)

(unweighted) PageRank

\(p_{uv} \propto \pi _{v}\)

ChoiceRank [23]

\(p_{uv} = \frac{\lambda _{v}}{\sum_{(u,v') \in E} \lambda _{v'}}\) (\(\forall \lambda _{i} \in \mathbb{R}_{>0}\)) [24]

Reverse PageRank

\(p_{uv} \propto \exp (\theta _{uv})\)