On rank vs. communication complexity

Noam Nisan; Avi Wigderson

doi:10.1007/BF01192527

On rank vs. communication complexity

Noam Nisan^*, Avi Wigderson

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

100 Scopus citations

Abstract

This paper concerns the open problem of Lovász and Saks regarding the relationship between the communication complexity of a boolean function and the rank of the associated matrix. We first give an example exhibiting the largest gap known. We then prove two related theorems.

Original language	English
Pages (from-to)	557-565
Number of pages	9
Journal	Combinatorica
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/BF01192527
State	Published - Dec 1995

Keywords

Mathematics Subject Classification (1991): 68Q05, 68R05, 05C50

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10.1007/BF01192527

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title = "On rank vs. communication complexity",

abstract = "This paper concerns the open problem of Lov{\'a}sz and Saks regarding the relationship between the communication complexity of a boolean function and the rank of the associated matrix. We first give an example exhibiting the largest gap known. We then prove two related theorems.",

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On rank vs. communication complexity

Abstract

Keywords

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