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Number on the forehead protocols yielding dense Ruzsa-Szemerédi graphs and hypergraphs - MaRDI portal

Number on the forehead protocols yielding dense Ruzsa-Szemerédi graphs and hypergraphs (Q2216926)

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Number on the forehead protocols yielding dense Ruzsa-Szemerédi graphs and hypergraphs
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    Number on the forehead protocols yielding dense Ruzsa-Szemerédi graphs and hypergraphs (English)
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    18 December 2020
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    The authors describe algorithmic Number On the Forehead protocols in communication complexity terms that provide dense Ruzsa-Szemerédi graphs. The approach avoids the use of Behrend's construction of a large set of integers with no three-term arithmetic progressions. The results are generalized to uniform hypergraphs by extending the protocols to any number of players.
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    Ruzsa-Szemerédi graph
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    induced matching
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    communication complexity
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    NOF protocol
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