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arXiv · 2507.18652

Fixed points of Personalized PageRank centrality: From irreducible to reducible networks

David Aleja·Julio Flores·Eva Primo·Daniel Rodríguez·Miguel Romance
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Abstract

In this paper we analyze the PageRank of a complex network as a function of its personalization vector. By using this approach, a complete characterization of the existence and uniqueness of fixed points of PageRank of a graph is given in terms of the number and nature of its strongly connected components. The method presented includes the use of a feedback-PageRank in order to compute exactly the fixed points following the classic Power's Method in terms of the (left-hand) Perron vector of each strongly connected components.

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David Aleja, Julio Flores, Eva Primo, Daniel Rodríguez, Miguel Romance. 2025-07-22. Fixed points of Personalized PageRank centrality: From irreducible to reducible networks. https://arxiv.org/abs/2507.18652

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