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.APPROX/RANDOM.2020.16
URN: urn:nbn:de:0030-drops-126190
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12619/
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Czumaj, Artur ; Fichtenberger, Hendrik ; Peng, Pan ; Sohler, Christian

Testable Properties in General Graphs and Random Order Streaming

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LIPIcs-APPROX16.pdf (0.6 MB)

Abstract

We consider the fundamental question of understanding the relative power of two important computational models: property testing and data streaming. We present a novel framework closely linking these areas in the setting of general graphs in the context of constant-query complexity testing and constant-space streaming. Our main result is a generic transformation of a one-sided error property tester in the random-neighbor model with constant query complexity into a one-sided error property tester in the streaming model with constant space complexity. Previously such a generic transformation was only known for bounded-degree graphs.

BibTeX - Entry

@InProceedings{czumaj_et_al:LIPIcs:2020:12619,
  author =	{Artur Czumaj and Hendrik Fichtenberger and Pan Peng and Christian Sohler},
  title =	{{Testable Properties in General Graphs and Random Order Streaming}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)},
  pages =	{16:1--16:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-164-1},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{176},
  editor =	{Jaros{\l}aw Byrka and Raghu Meka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12619},
  URN =		{urn:nbn:de:0030-drops-126190},
  doi =		{10.4230/LIPIcs.APPROX/RANDOM.2020.16},
  annote =	{Keywords: Graph property testing, sublinear algorithms, graph streaming algorithms}
}

Keywords: Graph property testing, sublinear algorithms, graph streaming algorithms
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)
Issue Date: 2020
Date of publication: 11.08.2020

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