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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2013, Volume 125, Pages 252–268 (Mi into148)  

This article is cited in 4 scientific papers (total in 4 papers)

New lower bounds for the chromatic number of a space with forbidden isosceles triangles

D. V. Samirov, A. M. Raigorodskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (180 kB) Citations (4)
Abstract: The work is devoted to the classical Nelson–Hadwiger problem in the combinatorial geometry.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00683_а
Ministry of Education and Science of the Russian Federation МД-6277.2013.1
НШ-2519.2012.1
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 204, Issue 4, Pages 531–541
DOI: https://doi.org/10.1007/s10958-014-2210-7
Document Type: Article
UDC: 517.938
Language: Russian
Citation: D. V. Samirov, A. M. Raigorodskii, “New lower bounds for the chromatic number of a space with forbidden isosceles triangles”, Dynamical systems, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 125, VINITI, Moscow, 2013, 252–268; J. Math. Sci. (N. Y.), 204:4 (2015), 531–541
Citation in format AMSBIB
\Bibitem{SamRai13}
\by D.~V.~Samirov, A.~M.~Raigorodskii
\paper New lower bounds for the chromatic number of a space with forbidden isosceles triangles
\inbook Dynamical systems
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2013
\vol 125
\pages 252--268
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into148}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 204
\issue 4
\pages 531--541
\crossref{https://doi.org/10.1007/s10958-014-2210-7}
Linking options:
  • https://www.mathnet.ru/eng/into148
  • https://www.mathnet.ru/eng/into/v125/p252
  • This publication is cited in the following 4 articles:
    1. A. V. Bobu, A. E. Kupriyanov, “Refinement of Lower Bounds of the Chromatic Number of a Space with Forbidden One-Color Triangles”, Math. Notes, 105:3 (2019), 329–341  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “On the number of edges of a uniform hypergraph with a range of allowed intersections”, Problems Inform. Transmission, 53:4 (2017), 319–342  mathnet  crossref  isi  elib
    3. A. E. Zvonarev, A. M. Raigorodskii, “Improvements of the Frankl–Rödl theorem on the number of edges of a hypergraph with forbidden intersections, and their consequences in the problem of finding the chromatic number of a space with forbidden equilateral triangle”, Proc. Steklov Inst. Math., 288 (2015), 94–104  mathnet  crossref  crossref  isi  elib  elib
    4. A. E. Zvonarev, A. M. Raigorodskii, D. V. Samirov, A. A. Kharlamova, “On the chromatic number of a space with forbidden equilateral triangle”, Sb. Math., 205:9 (2014), 1310–1333  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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