de.mpg.escidoc.pubman.appbase.FacesBean
Deutsch
 
Hilfe Wegweiser Datenschutzhinweis Impressum Kontakt
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

A communication-randomness tradeoff for two-processor systems

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44431

Fleischer,  Rudolf
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45021

Mehlhorn,  Kurt
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Externe Ressourcen
Es sind keine Externen Ressourcen verfügbar
Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Fleischer, R., Jung, H., & Mehlhorn, K. (1995). A communication-randomness tradeoff for two-processor systems. Information and Computation, 116, 155-161.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0014-AC3E-C
Zusammenfassung
We present a tight tradeoff between the expected communication complexity $\bar{C}$ (for a two-processor system) and the number $R$ of random bits used by any Las Vegas protocol for the list-nondisjointness function of two lists of $n$ numbers of $n$ bits each. This function evaluates to $1$ if and only if the two lists correspond in at least one position. We show a $\log(n^2/\bar{C})$ lower bound on the number of random bits used by any Las Vegas protocol, $\Omega(n)\le\bar{C}\le O(n^2)$. We also show that expected communication complexity $\bar{C}$, $\Omega(n\log n) \le\bar{C}\le O(n^2)$, can be achieved using no more than $\log(n^2/\bar{C}) + \lceil\log(2+\log(n^2/\bar{C}))\rceil+6$ random bits.", xxx-references = "STOC::AhoUY83, FOCS::CanettiG90, STOC::Furer87, STOC::HalstenbergR88, STOC::KrizancPU88, FOCS::LovaszS88, STOC::MehlhornS82, STOC::PapadimitriouS82, FOCS::Yao77, STOC::Yao79, FOCS::Yao83", references = "\cite{STOC::AhoUY1983} \cite{FOCS::CanettiG1990} \cite{STOC::Furer1987} \cite{STOC::HalstenbergR1988} \cite{STOC::KrizancPU1988} \cite{FOCS::LovaszS1988} \cite{STOC::MehlhornS1982} \cite{STOC::PapadimitriouS1982} \cite{FOCS::Yao1977} \cite{STOC::Yao1979} \cite{FOCS::Yao1983}