Axiomatization of the PageRank Centrality

Abstract

We propose an axiomatization of PageRank. Specifically, we introduce five simple axioms—Foreseeability, Outgoing Homogeneity, Monotonicity, Merging, and Dummy Node—and show that PageRank is the only centrality measure that satisfies all of them. Our axioms give a new conceptual and theoretical underpinnings of PageRank and show how it differs from other centralities.

Cite

Text

Was and Skibski. "Axiomatization of the PageRank Centrality." International Joint Conference on Artificial Intelligence, 2018. doi:10.24963/IJCAI.2018/542

Markdown

[Was and Skibski. "Axiomatization of the PageRank Centrality." International Joint Conference on Artificial Intelligence, 2018.](https://mlanthology.org/ijcai/2018/was2018ijcai-axiomatization/) doi:10.24963/IJCAI.2018/542

BibTeX

@inproceedings{was2018ijcai-axiomatization,
  title     = {{Axiomatization of the PageRank Centrality}},
  author    = {Was, Tomasz and Skibski, Oskar},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {2018},
  pages     = {3898-3904},
  doi       = {10.24963/IJCAI.2018/542},
  url       = {https://mlanthology.org/ijcai/2018/was2018ijcai-axiomatization/}
}