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.MFCS.2016.7
URN: urn:nbn:de:0030-drops-64244
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6424/
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Amiri, Saeed Akhoondian ; Kreutzer, Stephan ; Marx, Dániel ; Rabinovich, Roman

Routing with Congestion in Acyclic Digraphs

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Abstract

We study the version of the k-disjoint paths problem where k demand pairs (s_1,t_1), ..., (s_k,t_k) are specified in the input and the paths in the solution are allowed to intersect, but such that no vertex is on more than c paths. We show that on directed acyclic graphs the problem is solvable in time n^{O(d)} if we allow congestion k-d for k paths. Furthermore, we show that, under a suitable complexity theoretic assumption, the problem cannot be solved in time f(k)n^{o(d*log(d))} for any computable function f.

BibTeX - Entry

@InProceedings{amiri_et_al:LIPIcs:2016:6424,
  author =	{Saeed Akhoondian Amiri and Stephan Kreutzer and D{\'a}niel Marx and Roman Rabinovich},
  title =	{{Routing with Congestion in Acyclic Digraphs}},
  booktitle =	{41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
  pages =	{7:1--7:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-016-3},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{58},
  editor =	{Piotr Faliszewski and Anca Muscholl and Rolf Niedermeier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6424},
  URN =		{urn:nbn:de:0030-drops-64244},
  doi =		{10.4230/LIPIcs.MFCS.2016.7},
  annote =	{Keywords: algorithms, disjoint paths, congestion, acyclic digraphs, XP, W[1]-hard}
}

Keywords: algorithms, disjoint paths, congestion, acyclic digraphs, XP, W[1]-hard
Collection: 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
Issue Date: 2016
Date of publication: 19.08.2016

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