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January 28, 2026Information and Computation

A hierarchy of constant communication complexity

Andris Ambianis Hartmut Klauck Debbie Lim

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Key Points

The study identifies a hierarchy in communication complexity involving varying data distribution requirements.
Key findings indicate that multiple algorithmic approaches are necessary for efficient data discussions.
Analysis of existing communication structures demonstrates profound implications for information theory applications.
Future work suggests exploring deeper algorithms to fully understand the implications of these hierarchies.

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Implication

Observational analysis reveals complexities in communication hierarchies, suggesting structured algorithm development.

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Cite This Study

Ambianis et al. (2026) studied this question.

synapsesocial.com/papers/69a75b20c6e9836116a21df8 https://doi.org/10.1016/j.ic.2026.105416

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Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Lower bounds on threshold and related circuits via communication complexityOriginal Research · 1994 · 42 citations
2Three models for the description of languageOriginal Research · 1956 · 2,828 citations
3Learning Complexity vs Communication ComplexityOriginal Research · 2009 · 49 citations
4Guest Column: Structure in Communication Complexity and Constant-Cost Complexity Classes2024 · 4 citations
5The Landscape of Communication Complexity ClassesOriginal Research · 2018 · 28 citations

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