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Deterministic communication complexity of set intersection

โœ Scribed by Ulrich Tamm


Book ID
104184555
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
680 KB
Volume
61
Category
Article
ISSN
0166-218X

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โœ U. Tamm ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 415 KB

The set-intersection function gives the cardinality of the intersection of two sets. In order to obtain a lower bound for the communication complexity of this function, the rank of the corresponding characteristic function-value matrices was calculated in [l] and [Z]. In this note, the rank of these

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We study non-deterministic communication protocols in which no input has too many witnesses. Define nk(f) to be the minimum complexity of a non-deterministic protocol for the function fin which each input has at most k witnesses. We present two different lower bounds for nk(f). Our first result show