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Encyclopedia of Algorithms pp 1–10Cite as

Communication Complexity

  • Living reference work entry
  • First Online:

  • 516 Accesses

Years and Authors of Summarized Original Work

  • 1986; Babai, Frankl, Simon

  • 2004; Bar-Yossef, Jayram, Kumar, Sivakumar

  • 2010; Barak, Braverman, Chen, Rao

  • 2012; Braverman

  • 2011; Braverman, Rao

  • 2014; Brody, Chakrabarti, Kondapally, Woodruff, Yaroslavtsev

  • 2012; Chakrabarti, Regev

  • 2001; Chakrabarti, Shi, Wirth, Yao

  • 1995; Feder, Kushilevitz, Naor, Nisan

  • 2014; Ganor, Kol, Raz

  • 2010; Jain, Klauck

  • 1997; Kushilevitz, Nisan

  • 2009; Lee, Shraibman

  • 2014; Lovett

  • 1998; Miltersen, Nisan, Safra, Wigderson

  • 1991; Newman

  • 1992; Razborov

  • 1977; Yao

  • 1979; Yao

Problem Definition

Two players – Alice and Bob – are playing a game in which their shared goal is to compute a function \(f : \mathcal{X}\times \mathcal{Y}\rightarrow \mathcal{Z}\) efficiently. The game starts with Alice holding a value \(x \in \mathcal{X}\) and Bob holding \(y \in \mathcal{Y}\). They then communicate by sending each other messages according to a predetermined protocol, at the end of which they must both arrive at some output \(z \in...

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Recommended Reading

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Authors and Affiliations

  1. Department of Computer Science, Dartmouth College, Hanover, NH, USA

    Amit Chakrabarti

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  1. Amit Chakrabarti
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Correspondence to Amit Chakrabarti .

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Editors and Affiliations

  1. Dept. Electrical Engineering & Computer Science, Northwestern University, Evanston, Illinois, USA

    Ming-Yang Kao

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Chakrabarti, A. (2015). Communication Complexity. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27848-8_799-1

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  • DOI: https://doi.org/10.1007/978-3-642-27848-8_799-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Online ISBN: 978-3-642-27848-8

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