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Computing Optimal Shortcuts for Networks

Authors Delia Garijo, Alberto Márquez, Natalia Rodríguez, Rodrigo I. Silveira



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Delia Garijo
  • Departamento de Matemática Aplicada I, Universidad de Sevilla, Spain
Alberto Márquez
  • Departamento de Matemática Aplicada I, Universidad de Sevilla, Spain
Natalia Rodríguez
  • Departamento de Computación, Universidad de Buenos Aires, Argentina
Rodrigo I. Silveira
  • Departament de Matemàtiques, Universitat Politècnica de Catalunya, Spain

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Delia Garijo, Alberto Márquez, Natalia Rodríguez, and Rodrigo I. Silveira. Computing Optimal Shortcuts for Networks. In 29th International Symposium on Algorithms and Computation (ISAAC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 123, pp. 15:1-15:12, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.ISAAC.2018.15

Abstract

We study augmenting a plane Euclidean network with a segment, called shortcut, to minimize the largest distance between any two points along the edges of the resulting network. Questions of this type have received considerable attention recently, mostly for discrete variants of the problem. We study a fully continuous setting, where all points on the network and the inserted segment must be taken into account. We present the first results on the computation of optimal shortcuts for general networks in this model, together with several results for networks that are paths, restricted to two types of shortcuts: shortcuts with a fixed orientation and simple shortcuts.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
Keywords
  • graph augmentation
  • shortcut
  • diameter
  • geometric graph

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References

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