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Recovering Graphs from Their Witness Unit Square Representation (Poster Abstract)

Authors Maarten Löffler , Frank Staals , Soeren Terziadis

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Subject Classification

ACM Subject Classification
  • Mathematics of computing → Graph theory
Keywords
  • proximity graphs
  • geometric intersection graphs
  • witness representation
  • unit square intersection graph
  • output sensitive algorithm
  • range searching

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Abstract

A wUSR of a graph G is a set of unit squares in the plane, one per vertex, if two vertices have an edge in G if their squares overlap and the overlap contains no witness. We present an output sensitive algorithm to compute a graph G based on its given witness unit square representation.

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Maarten Löffler, Frank Staals, and Soeren Terziadis. Recovering Graphs from Their Witness Unit Square Representation (Poster Abstract). In 33rd International Symposium on Graph Drawing and Network Visualization (GD 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 357, pp. 44:1-44:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025) https://doi.org/10.4230/LIPIcs.GD.2025.44

Author Details

Maarten Löffler
  • Department of Information and Computing Sciences, Utrecht University, The Netherlands
Frank Staals
  • Department of Information and Computing Sciences, Utrecht University, The Netherlands
Soeren Terziadis
  • Algorithms Group, TU Eindhoven, The Netherlands

Funding

  • Terziadis, Soeren: funded by the NWO Gravitation project NETWORKS (no. 024.002.003.)

References

  1. Mark de Berg, Otfried Cheong, Marc J. van Kreveld, and Mark H. Overmars. Computational geometry: Algorithms and applications, 3rd Edition. Springer, 2008. URL: https://doi.org/10.1007/978-3-540-77974-2.
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