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Diskretnaya Matematika, 2015, Volume 27, Issue 2, Pages 112–133
DOI: https://doi.org/10.4213/dm1329 (Mi dm1329) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On regular hypergraphs with high girth and high chromatic number

A. E. Khuzievaa, D. A. Shabanovb

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Lomonosov Moscow State University
Full-text PDF (525 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1329
Abstract: The paper is concerned with an extremal problem of combinatorial analysis on finding the minimal possible number of edges in an $n$-regular hypergraph with chromatic number greater than $r$ and girth greater than $s$. A new lower estimate of this extremal value is obtained and a number of related results is proved.
Keywords: hypergraph, colouring of hypergraphs, sparse hypergraphs, random recolouring method, girth of a hypergraph.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2964.2014.1
MK-692.2014.1
Received: 06.04.2015
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 5, Pages 277–294
DOI: https://doi.org/10.1515/dma-2015-0027
Bibliographic databases:
Document Type: Article
UDC: 519.112.7, 519.179.1, 519.179.4
Language: Russian
Citation: A. E. Khuzieva, D. A. Shabanov, “On regular hypergraphs with high girth and high chromatic number”, Diskr. Mat., 27:2 (2015), 112–133; Discrete Math. Appl., 25:5 (2015), 277–294
Citation in format AMSBIB
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\paper On regular hypergraphs with high girth and high chromatic number
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  • https://doi.org/10.4213/dm1329
  • https://www.mathnet.ru/eng/dm/v27/i2/p112
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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