Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Elmasry, Amr; Hagerup, Torben; Kammer, Frank https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-49217
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Space-efficient Basic Graph Algorithms

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Abstract

We reconsider basic algorithmic graph problems in a setting where an n-vertex input graph is read-only and the computation must take place in a working memory of O(n) bits or little more than that. For computing connected components and performing breadth-first search, we match the running times of standard algorithms that have no memory restrictions, for depth-first search and related problems we come within a factor of \Theta(\log\log n), and for computing minimum spanning forests and single-source shortest-paths trees we come close for sparse input graphs.

BibTeX - Entry

@InProceedings{elmasry_et_al:LIPIcs:2015:4921,
  author =	{Amr Elmasry and Torben Hagerup and Frank Kammer},
  title =	{{Space-efficient Basic Graph Algorithms}},
  booktitle =	{32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)},
  pages =	{288--301},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-78-1},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{30},
  editor =	{Ernst W. Mayr and Nicolas Ollinger},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/4921},
  URN =		{urn:nbn:de:0030-drops-49217},
  doi =		{10.4230/LIPIcs.STACS.2015.288},
  annote =	{Keywords: graph algorithms, depth-first search, single-source shortest paths, register input model}
}

Keywords: graph algorithms, depth-first search, single-source shortest paths, register input model
Seminar: 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)
Issue date: 2015
Date of publication: 26.02.2015


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