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Russian Mathematical Surveys, 2003, Volume 58, Issue 4, Pages 794–795
DOI: https://doi.org/10.1070/RM2003v058n04ABEH000651
(Mi rm651)
 

This article is cited in 27 scientific papers (total in 27 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

The problem of the twenty-five spheres

O. R. Musin

M. V. Lomonosov Moscow State University
References:
Accepted: 14.05.2003
Bibliographic databases:
Document Type: Article
MSC: 05B40, 52A37
Language: English
Original paper language: Russian
Citation: O. R. Musin, “The problem of the twenty-five spheres”, Russian Math. Surveys, 58:4 (2003), 794–795
Citation in format AMSBIB
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\by O.~R.~Musin
\paper The problem of the twenty-five spheres
\jour Russian Math. Surveys
\yr 2003
\vol 58
\issue 4
\pages 794--795
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Linking options:
  • https://www.mathnet.ru/eng/rm651
  • https://doi.org/10.1070/RM2003v058n04ABEH000651
  • https://www.mathnet.ru/eng/rm/v58/i4/p153
  • This publication is cited in the following 27 articles:
    1. Yiming Li, Chuanming Zong, “On generalized kissing numbers of convex bodies”, Acta Math Sci, 45:1 (2025), 72  crossref
    2. A. A. Kislitsyn, “Kharakteristiki i analiz grafov blizhaishikh sosedei, porozhdennykh sluchainymi matritsami”, Matem. modelirovanie, 36:6 (2024), 3–20  mathnet  crossref
    3. A. A. Kislitsyn, “Modeling of nearest neighbor graphs to estimate the probability of independence of data”, Math. Models Comput. Simul., 15:1 suppl. (2023), S41–S53  mathnet  crossref  crossref
    4. Hiroshi Maehara, Horst Martini, “Kissing Numbers for Balls with Varying Radii”, Graphs and Combinatorics, 38:6 (2022)  crossref
    5. Mattias Cross, Valentin Radu, 2021 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), 2021, 2194  crossref
    6. Li J., Madiman M., “A Combinatorial Approach to Small Ball Inequalities For Sums and Differences”, Comb. Probab. Comput., 28:1 (2019), 100–129  crossref  mathscinet  isi  scopus
    7. Solymosi J., Wong C., “An Application of Kissing Number in Sum-Product Estimates”, Acta Math. Hung., 155:1 (2018), 47–60  crossref  mathscinet  isi  scopus  scopus
    8. Musin O.R., “Towards a Proof of the 24-Cell Conjecture”, Acta Math. Hung., 155:1 (2018), 184–199  crossref  mathscinet  isi  scopus  scopus
    9. Oleg R. Musin, Bolyai Society Mathematical Studies, 27, New Trends in Intuitive Geometry, 2018, 321  crossref
    10. Konrad J. Swanepoel, Bolyai Society Mathematical Studies, 27, New Trends in Intuitive Geometry, 2018, 407  crossref
    11. Kokorev D.S., “An Algorithm For Determining the Optimal Variant of a Cut Gem With Maximal Mass and Specified Symmetry Deviations”, Bizn. Inform., 40:2 (2017), 40–46  crossref  isi
    12. Chen H., “Apollonian Ball Packings and Stacked Polytopes”, Discret. Comput. Geom., 55:4 (2016), 801–826  crossref  mathscinet  zmath  isi  elib  scopus
    13. Kokorev D., Piskovatskii N., “Applied Problems of Polyhedron Inscribing Task Solving”, 5Th International Young Scientist Conference on Computational Science, Ysc 2016, Procedia Computer Science, 101, eds. Boukhanovsky A., Bubak M., Balakhontceva M., Elsevier Science BV, 2016, 227–232  crossref  isi  scopus  scopus
    14. O. R. Musin, A. S. Tarasov, “Extremal problems of circle packings on a sphere and irreducible contact graphs”, Proc. Steklov Inst. Math., 288 (2015), 117–131  mathnet  crossref  crossref  isi  elib
    15. N. A. Kuklin, “The extremal function in the Delsarte problem of finding an upper bound for the kissing number in the three-dimensional space”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 99–111  mathnet  crossref  mathscinet  isi  elib
    16. Leonardo Martinez, Luis Montejano, “Geometric variants of Hallʼs Theorem through Spernerʼs Lemma”, Electronic Notes in Discrete Mathematics, 44 (2013), 127  crossref  scopus  scopus
    17. O. R. Musin, A. S. Tarasov, “Enumeration of irreducible contact graphs on the sphere”, J. Math. Sci., 203:6 (2014), 837–850  mathnet  crossref  mathscinet
    18. N. A. Kuklin, “Delsarte method in the problem on kissing numbers in high-dimensional spaces”, Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 108–123  mathnet  crossref  isi  elib
    19. Władysław Narkiewicz, Springer Monographs in Mathematics, Rational Number Theory in the 20th Century, 2012, 275  crossref
    20. N. A. Kuklin, “Vid ekstremalnoi funktsii v zadache Delsarta otsenki sverkhu kontaktnogo chisla trekhmernogo prostranstva”, Tr. IMM UrO RAN, 17, no. 3, 2011, 225–232  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:106
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