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COMBINATORICA
Article . 1987 . Peer-reviewed
License: Springer TDM
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Article . 1987
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Article . 1987
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https://dx.doi.org/10.1007/bf0...
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The monotone circuit complexity of boolean functions

The monotone circuit complexity of Boolean functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1987 English Publisher:Springer Science and Business Media LLCJournal:Combinatorica, volume 7, pages 1-22 (issn: 0209-9683, eissn: 1439-6912, Copyright policy )
Authors: Noga Alon; Ravi B. Boppana;

doi: 10.1007/bf02579196

The monotone circuit complexity of boolean functions

Abstract

Some new results concerning lower bounds for the complexity of monotone circuits that detect cliques in graphs are obtained using modified versions of known methods. It is shown that even a very rough approximation of the maximum clique size of a graph, requires superpolynomial size of monotone circuits. Also, lower bounds are given for some Boolean functions and a largest lower bound for an NP-function of n variables is obtained.

Related Organizations
Keywords

exponential lower bound, Analysis of algorithms and problem complexity, Graph theory (including graph drawing) in computer science, NP-function, Switching theory, application of Boolean algebra; Boolean functions, superpolynomial lower bound, cliques, Boolean functions, complexity of monotone circuits

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
212
Top 10%
Top 0.1%
Top 10%
bronze