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Network Construction with Ordered Constraints

Authors: Yi Huang, Mano Vikash Janardhanan, and Lev Reyzin

Published in: LIPIcs, Volume 93, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)


Abstract
In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not reflected in previous, more general models. We give hardness of approximation results and nearly-matching upper bounds for the offline problem, and we study the online problem in both general graphs and restricted sub-classes. In the online problem, for general graphs, we give exponentially better upper bounds than exist for algorithms for general connectivity problems. For the restricted classes of stars and paths we are able to find algorithms with optimal competitive ratios, the latter of which involve analysis using a potential function defined over PQ-trees.

Cite as

Yi Huang, Mano Vikash Janardhanan, and Lev Reyzin. Network Construction with Ordered Constraints. In 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 93, pp. 34:1-34:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{huang_et_al:LIPIcs.FSTTCS.2017.34,
  author =	{Huang, Yi and Janardhanan, Mano Vikash and Reyzin, Lev},
  title =	{{Network Construction with Ordered Constraints}},
  booktitle =	{37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)},
  pages =	{34:1--34:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-055-2},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{93},
  editor =	{Lokam, Satya and Ramanujam, R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2017.34},
  URN =		{urn:nbn:de:0030-drops-84090},
  doi =		{10.4230/LIPIcs.FSTTCS.2017.34},
  annote =	{Keywords: subgraph connectivity, network construction, ordered connectivity constraints, PQ-trees}
}
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