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Discrete Hyperbolic Random Graph Model

Authors Dorota Celińska-Kopczyńska , Eryk Kopczyński

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Author Details

Dorota Celińska-Kopczyńska
  • Institute of Informatics, University of Warsaw, Poland
Eryk Kopczyński
  • Institute of Informatics, University of Warsaw, Poland

Funding

This work has been supported by the National Science Centre, Poland, grant DEC-2016/21/N/HS4/02100.

Acknowledgements

We would like to thank all the referees for their comments which have greatly improved the paper.

Cite AsGet BibTex

Dorota Celińska-Kopczyńska and Eryk Kopczyński. Discrete Hyperbolic Random Graph Model. In 20th International Symposium on Experimental Algorithms (SEA 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 233, pp. 1:1-1:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.SEA.2022.1

Abstract

The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. However, working with this model is algorithmically and conceptually challenging because of the nature of the distances in the hyperbolic plane. In this paper, we propose a discrete variant of the HRG model (DHRG) where nodes are mapped to the vertices of a triangulation; our algorithms allow us to work with this model in a simple yet efficient way. We present experimental results conducted on networks, both real-world and simulated, to evaluate the practical benefits of DHRG in comparison to the HRG model.

Subject Classification

ACM Subject Classification
  • Theory of computation → Random network models
  • Theory of computation → Routing and network design problems
  • Human-centered computing → Social network analysis
Keywords
  • hyperbolic geometry
  • scale-free networks
  • routing
  • tessellation

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References

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