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Communication complexity

In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem is distributed among two or more parties. The study of communication complexity was first introduced by Andrew Yao in 1979, while studying the problem of computation distributed among several machines.…

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Overview

Formal definition

Randomized communication complexity

Quantum communication complexity

Nondeterministic communication complexity

Lifting

Open problems

Applications

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Map overview Semantic statistics

Communication complexity

Nodes69
Edges68
Triples105
Avg. degree1.97
Density0.028986
Components1

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Communication complexity

Top relations

related to References · 37
Communication complexity → Advanced Study, American Mathematical Society Institute, Amir, Anup, Avi Wigderson, Brassard, Cambridge, Cambridge University Press, Circuit, Common Random Bits, Communication, Comput, Distributed Computing, Eyal, Hromkovic, In Computational Complexity Theory, Information Processing Letters, ISBN, Kushilevitz, Newman
related to Formal definition · 11
Communication complexity → Alice, As, At, Bob, By, Initially, Let, The, Then, This, Using
related to Example: GH · 10
Communication complexity → Alice, Bob, Boolean, Clearly, For, Formally, GH, Hamming, If, In
related to Nondeterministic communication complexity · 9
Communication complexity → After, Alice, Bob, Dietzfelbinger, In, Kushilevitz, Nisan, The, Viewed
has application · 6
Communication complexity → Compilation, Conitzer, Lower, Sandholm, Turing, VLSI
related to Collapse of randomized communication complexity · 6
Communication complexity → Alice, Bob, Boolean, Definition, Let's, Using
related to Unbounded-error communication complexity · 6
Communication complexity → Alice, Alice's, Bob, In, Note, On
related to Lifting · 5
Communication complexity → Lifting, McKenzie, NC, Raz, This
related to Open problems · 5
Communication complexity → Considering, For, Note, Since, The
related to Distributional complexity · 3
Communication complexity → Given, One, Pr

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Important terminology

displaystyle communication complexity alice bob protocol function bits random matrix string randomized lower parties problem information bit bound number one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Communication complexityis abinary logarithm of the rectangle covering number of the matrix0.90text
Communication complexityhas applicationLower0.60section
Communication complexityhas applicationVLSI0.60section
Communication complexityhas applicationTuring0.60section
Communication complexityhas applicationConitzer0.60section
Communication complexityhas applicationSandholm0.60section
Communication complexityhas applicationCompilation0.60section
Communication complexityrelated to Collapse of randomized communication complexityLet's0.60section
Communication complexityrelated to Collapse of randomized communication complexityAlice0.60section
Communication complexityrelated to Collapse of randomized communication complexityBob0.60section
Communication complexityrelated to Collapse of randomized communication complexityUsing0.60section
Communication complexityrelated to Collapse of randomized communication complexityDefinition0.60section

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