Some Open Problems in Computational Geometry (Invited Talk)

Author Sergio Cabello

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Author Details

Sergio Cabello
  • University of Ljubljana, Slovenia
  • Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia

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Sergio Cabello. Some Open Problems in Computational Geometry (Invited Talk). In 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 170, pp. 2:1-2:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


In this paper we shall encounter three open problems in Computational Geometry that are, in my opinion, interesting for a general audience interested in algorithms.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
  • barrier resilience
  • maximum matching
  • geometric graphs
  • fixed-parameter tractability
  • stochastic computational geometry


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  1. Helmut Alt, Sergio Cabello, Panos Giannopoulos, and Christian Knauer. Minimum cell connection in line segment arrangements. Int. J. Comput. Geom. Appl., 27(3):159-176, 2017. URL:
  2. Édouard Bonnet, Sergio Cabello, and Wolfgang Mulzer. Maximum matchings in geometric intersection graphs. In 37th International Symposium on Theoretical Aspects of Computer Science, STACS 2020, pages 31:1-31:17, 2020. URL:
  3. Sergio Cabello and Éric Colin de Verdière. Hardness of minimum barrier shrinkage and minimum installation path. Theoretical Computer Science, in print. URL:
  4. Sergio Cabello, Kshitij Jain, Anna Lubiw, and Debajyoti Mondal. Minimum shared-power edge cut. Networks, 75(3):321-333, 2020. URL:
  5. Sergio Cabello and Wolfgang Mulzer. Minimum cuts in geometric intersection graphs. CoRR, abs/2005.00858, 2020. URL:
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