License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2021.45
URN: urn:nbn:de:0030-drops-154785
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Gudmundsson, Joachim ; Sha, Yuan ; Yao, Fan

Augmenting Graphs to Minimize the Radius

LIPIcs-ISAAC-2021-45.pdf (1 MB)


We study the problem of augmenting a metric graph by adding k edges while minimizing the radius of the augmented graph. We give a simple 3-approximation algorithm and show that there is no polynomial-time (5/3-ε)-approximation algorithm, for any ε > 0, unless P = NP.
We also give two exact algorithms for the special case when the input graph is a tree, one of which is generalized to handle metric graphs with bounded treewidth.

BibTeX - Entry

  author =	{Gudmundsson, Joachim and Sha, Yuan and Yao, Fan},
  title =	{{Augmenting Graphs to Minimize the Radius}},
  booktitle =	{32nd International Symposium on Algorithms and Computation (ISAAC 2021)},
  pages =	{45:1--45:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-214-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{212},
  editor =	{Ahn, Hee-Kap and Sadakane, Kunihiko},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-154785},
  doi =		{10.4230/LIPIcs.ISAAC.2021.45},
  annote =	{Keywords: graph augmentation, radius, approximation algorithm}

Keywords: graph augmentation, radius, approximation algorithm
Collection: 32nd International Symposium on Algorithms and Computation (ISAAC 2021)
Issue Date: 2021
Date of publication: 30.11.2021

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