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Russian Mathematical Surveys, 2003, Volume 58, Issue 5, Pages 929–1001
DOI: https://doi.org/10.1070/RM2003v058n05ABEH000667
(Mi rm667)
 

This article is cited in 46 scientific papers (total in 46 papers)

Monotone Boolean functions

A. D. Korshunov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published. However, until now there has been no sufficiently complete monograph or survey of results of investigations concerning monotone Boolean functions. The object of this survey is to present the main results on monotone Boolean functions obtained during the last 50 years.
Received: 18.12.2002
Bibliographic databases:
Document Type: Article
UDC: 519.71
MSC: Primary 94C10; Secondary 06E30, 94B35, 94C12, 94A24, 94C09, 05A99, 03D15, 6
Language: English
Original paper language: Russian
Citation: A. D. Korshunov, “Monotone Boolean functions”, Russian Math. Surveys, 58:5 (2003), 929–1001
Citation in format AMSBIB
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\paper Monotone Boolean functions
\jour Russian Math. Surveys
\yr 2003
\vol 58
\issue 5
\pages 929--1001
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Linking options:
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  • https://doi.org/10.1070/RM2003v058n05ABEH000667
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  • This publication is cited in the following 46 articles:
    1. Yuxiang Yao, Zi-Gang Huang, Duanqing Pei, “Diversified dynamic effects and their order origins in Boolean functions”, Chaos, Solitons & Fractals, 191 (2025), 115830  crossref
    2. A. J. Gutknecht, A. Makkeh, M. Wibral, “From Babel to Boole: the logical organization of information decompositions”, Proc. R. Soc. A., 481:2310 (2025)  crossref
    3. Levon Aslanyan, Gyula Katona, Hasmik Sahakyan, “Shadow Minimization Boolean Function Reconstruction”, Informatica, 2024, 1  crossref
    4. H. Sahakyan, L. Aslanyan, “Alternative Approaches of Solving the Discrete Tomography”, Program Comput Soft, 50:S1 (2024), S75  crossref
    5. Movsisyan Yu.M., “Boole-de Morgan Bilattices”, J. Mult.-Valued Log. Soft Comput., 38:1-2 (2022), 137–152  isi
    6. Yu. G. Tarazevich, “On the complexity of realizations of Boolean functions in some classes of hypercontact circuits”, Discrete Math. Appl., 34:1 (2024), 33–50  mathnet  crossref  crossref
    7. Peter Crawford-Kahrl, Bree Cummins, Tomáš Gedeon, “Joint realizability of monotone Boolean functions”, Theoretical Computer Science, 922 (2022), 447  crossref
    8. Tennakoon R., Suter D., Zhang E., Chin T.-J., Bab-Hadiashar A., “Consensus Maximisation Using Influences of Monotone Boolean Functions”, 2021 IEEE/Cvf Conference on Computer Vision and Pattern Recognition, Cvpr 2021, IEEE Conference on Computer Vision and Pattern Recognition, IEEE Computer Soc, 2021, 2865–2874  crossref  isi  scopus
    9. Kurz S., “A Note on the Growth of the Dimension in Complete Simple Games”, Math. Soc. Sci., 110 (2021), 14–18  crossref  mathscinet  isi
    10. Gedeon T., “Multi-Parameter Exploration of Dynamics of Regulatory Networks”, Biosystems, 190 (2020), 104113  crossref  isi  scopus
    11. Shmulevich I., “On the Lyapunov Exponent of Monotone Boolean Networks Dagger”, Mathematics, 8:6 (2020), 1035  crossref  isi
    12. Farras O., “Secret Sharing Schemes For Ports of Matroids of Rank 3”, Kybernetika, 56:5 (2020), 903–915  crossref  mathscinet  isi
    13. Morton W., van Alten C.J., “Distributive and Completely Distributive Lattice Extensions of Ordered Sets”, Int. J. Algebr. Comput., 28:3 (2018), 521–541  crossref  mathscinet  zmath  isi  scopus  scopus
    14. Movsisyan Yu.M., “Hyperidentities and Related Concepts, II”, Armen. J. Math., 10:4 (2018), 1–85  mathscinet  isi
    15. Pauly A., “Parameterized Games and Parameterized Automata”, Electron. Proc. Theor. Comput. Sci., 2018, no. 277, 30–42  crossref  mathscinet  isi  scopus
    16. O. N. Muzychenko, “About complexity of implementing threshold functions”, Russian Math. (Iz. VUZ), 61:7 (2017), 35–42  mathnet  crossref  isi
    17. Gainer-Dewar A., Vera-Licona P., “The Minimal Hitting Set Generation Problem: Algorithms and Computation”, SIAM Discret. Math., 31:1 (2017), 63–100  crossref  mathscinet  zmath  isi  scopus  scopus
    18. Pendavingh R., van der Pol J., “Enumerating Matroids of Fixed Rank”, Electron. J. Comb., 24:1 (2017), P1.8  mathscinet  zmath  isi
    19. Movsisyan Yu.M., “Hyperidentities and Related Concepts, i”, Armen. J. Math., 9:2 (2017), 146–222  mathscinet  zmath  isi
    20. Tournier L., Goelzer A., Fromion V., “Optimal Resource Allocation Enables Mathematical Exploration of Microbial Metabolic Configurations”, J. Math. Biol., 75:6-7 (2017), 1349–1380  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:176
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