1 Search Results for "Celińska-Kopczyńska, Dorota"

Discrete Hyperbolic Random Graph Model

Authors: Dorota Celińska-Kopczyńska and Eryk Kopczyński

Published in: LIPIcs, Volume 233, 20th International Symposium on Experimental Algorithms (SEA 2022)

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.

Cite as

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)

Copy BibTex To Clipboard

  author =	{Celi\'{n}ska-Kopczy\'{n}ska, Dorota and Kopczy\'{n}ski, Eryk},
  title =	{{Discrete Hyperbolic Random Graph Model}},
  booktitle =	{20th International Symposium on Experimental Algorithms (SEA 2022)},
  pages =	{1:1--1:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-251-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{233},
  editor =	{Schulz, Christian and U\c{c}ar, Bora},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SEA.2022.1},
  URN =		{urn:nbn:de:0030-drops-165356},
  doi =		{10.4230/LIPIcs.SEA.2022.1},
  annote =	{Keywords: hyperbolic geometry, scale-free networks, routing, tessellation}
  • Refine by Author
  • 1 Celińska-Kopczyńska, Dorota
  • 1 Kopczyński, Eryk

  • Refine by Classification
  • 1 Human-centered computing → Social network analysis
  • 1 Theory of computation → Random network models
  • 1 Theory of computation → Routing and network design problems

  • Refine by Keyword
  • 1 hyperbolic geometry
  • 1 routing
  • 1 scale-free networks
  • 1 tessellation

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2022

Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail