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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 895–910
DOI: https://doi.org/10.7868/S0044466915050105 (Mi zvmmf10212) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Asymptotically optimal dualization algorithms

E. V. Djukova, P. A. Prokofjev

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (238 kB) Citations (10)
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DOI: https://doi.org/10.7868/S0044466915050105
Abstract: The design of efficient on average algorithms for discrete enumeration problems is studied. The dualization problem, which is a central enumeration problem, is considered. New asymptotically optimal dualization algorithms are constructed. It is shown that they are superior in time costs to earlier constructed asymptotically optimal dualization algorithms and other available dualization algorithms with different design features.
Key words: dualization, Boolean matrix, asymptotically optimal algorithm, irreducible covering, enumeration with a polynomial-time delay.
Received: 29.10.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 891–905
DOI: https://doi.org/10.1134/S0965542515050103
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: Primary 68R10; Secondary 68Q15
Language: Russian
Citation: E. V. Djukova, P. A. Prokofjev, “Asymptotically optimal dualization algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 895–910; Comput. Math. Math. Phys., 55:5 (2015), 891–905
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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