On the Visibility Graphs of Pseudo-Polygons: Recognition and Reconstruction

Authors Safwa Ameer, Matt Gibson-Lopez , Erik Krohn, Qing Wang



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Author Details

Safwa Ameer
  • Department of Computer Science, The University of Texas at San Antonio, TX, USA
Matt Gibson-Lopez
  • Department of Computer Science, The University of Texas at San Antonio, TX, USA
Erik Krohn
  • Department of Computer Science, The University of Wisconsin - Oshkosh, WI, USA
Qing Wang
  • Department of Computer Science, University of Tennessee at Martin, TN, USA

Cite AsGet BibTex

Safwa Ameer, Matt Gibson-Lopez, Erik Krohn, and Qing Wang. On the Visibility Graphs of Pseudo-Polygons: Recognition and Reconstruction. In 18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 227, pp. 7:1-7:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.SWAT.2022.7

Abstract

We give polynomial-time algorithms that solve the pseudo-polygon visibility graph recognition and reconstruction problems. Our algorithms are based on a new characterization of the visibility graphs of pseudo-polygons.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
Keywords
  • Pseudo-Polygons
  • Visibility Graph Recognition
  • Visibility Graph Reconstruction

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References

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