Abstract
We analyze the distribution of PageRank on a directed configuration model and show that as the size of the graph grows to infinity, the PageRank of a randomly chosen node can be closely approximated by the PageRank of the root node of an appropriately constructed tree. This tree approximation is in turn related to the solution of a linear stochastic fixed-point equation that has been thoroughly studied in the recent literature.
The second author was partially funded by the EU-FET Open grant NADINE (288956). The third author was supported by the NSF grant CMMI-1131053.
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Chen, N., Litvak, N., Olvera-Cravioto, M. (2014). PageRank in Scale-Free Random Graphs. In: Bonato, A., Graham, F., Prałat, P. (eds) Algorithms and Models for the Web Graph. WAW 2014. Lecture Notes in Computer Science(), vol 8882. Springer, Cham. https://doi.org/10.1007/978-3-319-13123-8_10
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