Monotone circuits for connectivity require super-logarithmic depth

Mauricio Karchmer, Avi Wigderson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

117 Scopus citations

Abstract

We prove that every monotone circuit which tests st-connectivity of an undirected graph on n nodes has depth Ω(log2n). This implies a superpolynomial (nOmega;(logn) lower bound on the size of any monotone formula for st-connectivity.

Original languageEnglish
Title of host publicationProceedings of the 20th Annual ACM Symposium on Theory of Computing, STOC 1988
PublisherAssociation for Computing Machinery
Pages539-550
Number of pages12
ISBN (Print)0897912640, 9780897912648
DOIs
StatePublished - 1988
Event20th Annual ACM Symposium on Theory of Computing, STOC 1988 - Chicago, IL, United States
Duration: 2 May 19884 May 1988

Publication series

NameProceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)0737-8017

Conference

Conference20th Annual ACM Symposium on Theory of Computing, STOC 1988
Country/TerritoryUnited States
CityChicago, IL
Period2/05/884/05/88

Fingerprint

Dive into the research topics of 'Monotone circuits for connectivity require super-logarithmic depth'. Together they form a unique fingerprint.

Cite this