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Communication complexity: Applications, Art & Science

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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Communication complexity topic overview

The analysis highlights Applications, Art and Science as prominent areas in the source structure around Communication complexity.

Related topics
60
Source areas
8
Connected nodes
68
Extracted relationships
105
Concept neighborhoods
27
Bridge connections
68

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Randomized communication complexity · 16 topics
Overview · 14 topics
Applications · 9 topics
Lifting · 9 topics
Quantum communication complexity · 4 topics
Formal definition · 3 topics
Nondeterministic communication complexity · 3 topics
Open problems · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Formal definition

Randomized communication complexity

Quantum communication complexity

Nondeterministic communication complexity

Lifting

Open problems

Applications

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Communication complexity connects Entity context

The extracted context around Communication complexity shows recurring relationship patterns in the source. For example, 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 Another extracted example is Communication complexity → Alice, As, At, Bob, By, Initially, Let, The, Then, This, Using. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Communication complexity relationships Subject–Predicate–Object triples

TTTA extracted 105 structured relationships around Communication complexity. Examples in this analysis include Communication complexity → is a → binary logarithm of the rectangle covering number of the matrix and Communication complexity → has application → Lower. The table shows each extracted connection, where it came from and its confidence.

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

Related concept clusters Concept neighborhoods

The concept neighborhoods around Communication complexity bring nearby vocabulary together. In this analysis, examples include Complexity, Displaystyle and Randomized. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Communication complexity
    • Complexity
    • Displaystyle
    • Randomized
    • Quantum
    • Bits
    • Function
    • Alice
    • Lower
    • Matrix
    • Bounds
    • Case
    • Number
  • communication complexity
    • Complexity
    • Randomized
    • Lower
    • Bound
    • Information
    • Displaystyle
    • Quantum
    • Bits
    • Function
    • Alice
    • Matrix
    • Problem
  • alice and bob
    • Bob
    • Displaystyle
    • String
    • Function
    • Communication
    • Bit
    • One
    • Bits
    • Amount
    • Value
    • Random
    • Using
  • communication
    • Complexity
    • Displaystyle
    • Randomized
    • Quantum
    • Bits
    • Function
    • Alice
    • Lower
    • Matrix
    • Bounds
    • Case
    • Number
  • function
    • Case
    • Matrix
    • Protocol
    • Times
    • One
    • Randomized
    • Bits
    • Size
    • Value
    • Used
    • Bit
    • Using
  • computational complexity theory
    • Randomized
    • Lower
    • Bound
    • Information
    • Quantum
    • Problem
    • Function
    • Displaystyle
    • Number
    • Protocol
    • Matrix
    • Computation
  • more than two parties
    • Parties
    • Two
    • Problem
    • String
    • One
    • Private
    • Random
    • Bits
    • Quantum
    • Amount
    • Number
    • Communication
  • communication protocol
    • Complexity
    • Random
    • String
    • Displaystyle
    • Randomized
    • Quantum
    • Bits
    • Function
    • Alice
    • Lower
    • Matrix
    • Bounds

Connections between topic areas Semantic bridges

For Communication complexity, one of the stronger structural bridges in this analysis connects Communication complexity with Randomized communication complexity. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Communication complexityRandomized communication complexity · splits 52 ⟂ 17
Communication complexityOverview · splits 54 ⟂ 15
Communication complexityLifting · splits 59 ⟂ 10
Communication complexityApplications · splits 59 ⟂ 10
Communication complexityQuantum communication complexity · splits 64 ⟂ 5
Communication complexityFormal definition · splits 65 ⟂ 4
Communication complexityNondeterministic communication complexity · splits 65 ⟂ 4
Communication complexityOpen problems · splits 66 ⟂ 3

Map overview Semantic statistics

Communication complexity

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

Source & methodology

TTTA analyzes the structure around Communication complexity to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Art & Science, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Communication complexity · EN edition · Analysis: TopicsToTalkAbout

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