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Computing Optimal Shortcuts for Networks

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

Published in: LIPIcs, Volume 123, 29th International Symposium on Algorithms and Computation (ISAAC 2018)

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.

Cite as

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)

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  author =	{Garijo, Delia and M\'{a}rquez, Alberto and Rodr{\'\i}guez, Natalia and Silveira, Rodrigo I.},
  title =	{{Computing Optimal Shortcuts for Networks}},
  booktitle =	{29th International Symposium on Algorithms and Computation (ISAAC 2018)},
  pages =	{15:1--15:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-094-1},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{123},
  editor =	{Hsu, Wen-Lian and Lee, Der-Tsai and Liao, Chung-Shou},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2018.15},
  URN =		{urn:nbn:de:0030-drops-99634},
  doi =		{10.4230/LIPIcs.ISAAC.2018.15},
  annote =	{Keywords: graph augmentation, shortcut, diameter, geometric graph}
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