Monotone Circuits for Matching Require Linear Depth

Ran Raz; Avi Wigderson

doi:10.1145/146637.146684

Monotone Circuits for Matching Require Linear Depth

Ran Raz
, Avi Wigderson

The Rachel and Selim Benin School of Engineering and Computer Science

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

105 Scopus citations

Abstract

It is proven that monotone circuits computing the perfect matching function on n-vertex graphs require Ω1992 depth. This implies an exponential gap between the depth of monotone and nonmonotone circuits.

Original language	English
Pages (from-to)	736-744
Number of pages	9
Journal	Journal of the ACM
Volume	39
Issue number	3
DOIs	https://doi.org/10.1145/146637.146684
State	Published - 7 Jan 1992

Keywords

circuit depth
monotone computation
perfect matching

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10.1145/146637.146684

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Monotone Circuits for Matching Require Linear Depth

Abstract

Keywords

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