A note on weak delta systems

Andrii Arman; Bill Kay; Vojtěch Rödl

doi:10.1016/j.disc.2019.06.013

A note on weak delta systems

Andrii Arman, Bill Kay, Vojtěch Rödl

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

Let F be a family of n-element sets. In 1995, Axenovich, Fon-Der-Flaass and Kostochka established an upper bound on the size of F that does not contain a Δ-system with q=3 sets. Using the ideas of their proof we extend the results to an arbitrary q.

Original language	English
Pages (from-to)	3034-3042
Number of pages	9
Journal	Discrete Mathematics
Volume	342
Issue number	11
DOIs	https://doi.org/10.1016/j.disc.2019.06.013
Publication status	Published - 1 Nov 2019

Keywords

Hypergraphs
Weak delta systems

Access to Document

10.1016/j.disc.2019.06.013

Link to publication in Scopus

Cite this

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title = "A note on weak delta systems",

abstract = "Let F be a family of n-element sets. In 1995, Axenovich, Fon-Der-Flaass and Kostochka established an upper bound on the size of F that does not contain a Δ-system with q=3 sets. Using the ideas of their proof we extend the results to an arbitrary q.",

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AU - Kay, Bill

AU - Rödl, Vojtěch

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AB - Let F be a family of n-element sets. In 1995, Axenovich, Fon-Der-Flaass and Kostochka established an upper bound on the size of F that does not contain a Δ-system with q=3 sets. Using the ideas of their proof we extend the results to an arbitrary q.

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DO - 10.1016/j.disc.2019.06.013

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JO - Discrete Mathematics

JF - Discrete Mathematics

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