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.STACS.2019.46
URN: urn:nbn:de:0030-drops-102859
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10285/
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Kreutzer, Stephan ; Muzi, Irene ; Ossona de Mendez, Patrice ; Rabinovich, Roman ; Siebertz, Sebastian

Algorithmic Properties of Sparse Digraphs

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LIPIcs-STACS-2019-46.pdf (0.8 MB)

Abstract

The notions of bounded expansion [Nesetril and Ossona de Mendez, 2008] and nowhere denseness [Nesetril and Ossona de Mendez, 2011], introduced by Nesetril and Ossona de Mendez as structural measures for undirected graphs, have been applied very successfully in algorithmic graph theory. We study the corresponding notions of directed bounded expansion and nowhere crownfulness on directed graphs, introduced by Kreutzer and Tazari [Kreutzer and Tazari, 2012]. The classes of directed graphs having those properties are very general classes of sparse directed graphs, as they include, on one hand, all classes of directed graphs whose underlying undirected class has bounded expansion, such as planar, bounded-genus, and H-minor-free graphs, and on the other hand, they also contain classes whose underlying undirected class is not even nowhere dense. We show that many of the algorithmic tools that were developed for undirected bounded expansion classes can, with some care, also be applied in their directed counterparts, and thereby we highlight a rich algorithmic structure theory of directed bounded expansion and nowhere crownful classes.

BibTeX - Entry

@InProceedings{kreutzer_et_al:LIPIcs:2019:10285,
  author =	{Stephan Kreutzer and Irene Muzi and Patrice Ossona de Mendez and Roman Rabinovich and Sebastian Siebertz},
  title =	{{Algorithmic Properties of Sparse Digraphs}},
  booktitle =	{36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019)},
  pages =	{46:1--46:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-100-9},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{126},
  editor =	{Rolf Niedermeier and Christophe Paul},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10285},
  doi =		{10.4230/LIPIcs.STACS.2019.46},
  annote =	{Keywords: Directed graphs, graph algorithms, parameterized complexity, approximation}
}

Keywords: Directed graphs, graph algorithms, parameterized complexity, approximation
Collection: 36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019)
Issue Date: 2019
Date of publication: 12.03.2019

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