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Subgraphs with large minimum ℓ-degree in hypergraphs where almost all ℓ-degrees are large
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.ORCID iD: 0000-0001-8631-4745
2018 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 25, no 2, article id P2.18Article in journal (Refereed) Published
Abstract [en]

Let G be an r-uniform hypergraph on n vertices such that all but at most ε(n ℓ) ℓ-subsets of vertices have degree at least p(n-ℓ r-ℓ). We show that G contains a large subgraph with high minimum ℓ-degree.

Place, publisher, year, edition, pages
The Electronic Journal of Combinatorics , 2018. Vol. 25, no 2, article id P2.18
Keywords [en]
r-uniform hypergraphs, ℓ-degree, extremal hypergraph theory
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-148836DOI: 10.37236/6553ISI: 000432169900003Scopus ID: 2-s2.0-85046147760OAI: oai:DiVA.org:umu-148836DiVA, id: diva2:1217316
Available from: 2018-06-13 Created: 2018-06-13 Last updated: 2026-09-11Bibliographically approved

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Falgas-Ravry, Victor

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf