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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 1, Pages 269–283 (Mi fpm1879)  
Random constructions of hypergraphs with large girth and without panchromatic colorings

A. E. Khuzieva

Moscow Institute of Physics and Technology, Moscow, Russia
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Abstract: We give probabilistic constructions of hypergraphs with large girth that do not admit panchromatic colorings. We prove new upper bounds on the minimal values of the number of edges and the maximum vertex degree in such hypergraphs.
English version:
Journal of Mathematical Sciences (New York), 2022, Volume 262, Issue 4, Pages 581–590
DOI: https://doi.org/10.1007/s10958-022-05838-4
Document Type: Article
UDC: 519.179.1+519.174
Language: Russian
Citation: A. E. Khuzieva, “Random constructions of hypergraphs with large girth and without panchromatic colorings”, Fundam. Prikl. Mat., 23:1 (2020), 269–283; J. Math. Sci., 262:4 (2022), 581–590
Citation in format AMSBIB
\Bibitem{Khu20}
\by A.~E.~Khuzieva
\paper Random constructions of hypergraphs with large girth and without panchromatic colorings
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 1
\pages 269--283
\mathnet{http://mi.mathnet.ru/fpm1879}
\transl
\jour J. Math. Sci.
\yr 2022
\vol 262
\issue 4
\pages 581--590
\crossref{https://doi.org/10.1007/s10958-022-05838-4}
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    		Фундаментальная и прикладная математика
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