License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2018.104
URN: urn:nbn:de:0030-drops-91083
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/9108/
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Babay, Amy ; Dinitz, Michael ; Zhang, Zeyu

Brief Announcement: Characterizing Demand Graphs for (Fixed-Parameter) Shallow-Light Steiner Network

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LIPIcs-ICALP-2018-104.pdf (0.3 MB)

Abstract

We consider the Shallow-Light Steiner Network problem from a fixed-parameter perspective. Given a graph G, a distance bound L, and p pairs of vertices {(s_i,t_i)}_{i in [p]}, the objective is to find a minimum-cost subgraph G' such that s_i and t_i have distance at most L in G' (for every i in [p]). Our main result is on the fixed-parameter tractability of this problem for parameter p. We exactly characterize the demand structures that make the problem "easy", and give FPT algorithms for those cases. In all other cases, we show that the problem is W[1]-hard. We also extend our results to handle general edge lengths and costs, precisely characterizing which demands allow for good FPT approximation algorithms and which demands remain W[1]-hard even to approximate.

BibTeX - Entry

@InProceedings{babay_et_al:LIPIcs:2018:9108,
  author =	{Amy Babay and Michael Dinitz and Zeyu Zhang},
  title =	{{Brief Announcement: Characterizing Demand Graphs for (Fixed-Parameter) Shallow-Light Steiner Network}},
  booktitle =	{45th International Colloquium on Automata, Languages, and  Programming (ICALP 2018)},
  pages =	{104:1--104:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9108},
  URN =		{urn:nbn:de:0030-drops-91083},
  doi =		{10.4230/LIPIcs.ICALP.2018.104},
  annote =	{Keywords: Shallow-Light, Steiner Network, Fixed-Parameter Tractability}
}

Keywords: Shallow-Light, Steiner Network, Fixed-Parameter Tractability
Collection: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Issue Date: 2018
Date of publication: 04.07.2018

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