# Axiomatic Characterization of PageRank

arXiv: https://arxiv.org/abs/2010.08487 · HTML: https://mlsanity.com/paper/2010.08487/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Oct 2020.

## Built on by (most cited first, 1 of 1)

- [Proportional Selection in Networks](https://mlsanity.com/paper/2502.03545/) (2025)

## Abstract (arXiv)

This paper examines the fundamental problem of identifying the most important nodes in a network. We use an axiomatic approach to this problem. Specifically, we propose six simple properties and prove that PageRank is the only centrality measure that satisfies all of them. Our work gives new conceptual and theoretical foundations of PageRank that can be used to determine suitability of this centrality measure in specific applications.