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Testable Properties in General Graphs and Random Order Streaming

Authors Artur Czumaj, Hendrik Fichtenberger , Pan Peng , Christian Sohler

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Author Details

Artur Czumaj
  • Department of Computer Science and Centre for Discrete Mathematics and its Applications (DIMAP), University of Warwick, Coventry, UK
Hendrik Fichtenberger
  • Department of Computer Science, TU Dortmund, Germany
Pan Peng
  • Department of Computer Science, University of Sheffield, UK
Christian Sohler
  • Department of Mathematics and Computer Science, University of Cologne, Germany

Funding

  • Czumaj, Artur: Research partially supported by the Centre for Discrete Mathematics and its Applications (DIMAP), by IBM Faculty Award, and by EPSRC award EP/N011163/1.
  • Fichtenberger, Hendrik: Research supported by ERC grant No. 307696.
  • Sohler, Christian: Research supported by ERC grant No. 307696.

Acknowledgements

We would like to thank anonymous reviewers for extensive comments.

Cite AsGet BibTex

Artur Czumaj, Hendrik Fichtenberger, Pan Peng, and Christian Sohler. Testable Properties in General Graphs and Random Order Streaming. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 176, pp. 16:1-16:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.APPROX/RANDOM.2020.16

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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Streaming, sublinear and near linear time algorithms
Keywords
  • Graph property testing
  • sublinear algorithms
  • graph streaming algorithms

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