An intersection theorem for systems of finite sets

Christian Bey

doi:10.1016/j.dam.2015.05.034

An intersection theorem for systems of finite sets

Institute of Mathematics

Abstract

For nonnegative reals ω, ψ and natural t≤k≤(n+t−1)/2, the maximum of ω|A∩([n]k)|+ψ|A∩([n]n+t−1−k)| among all t-intersecting set systems A⊆2^[n] is determined.

Original language	English
Journal	Discrete Applied Mathematics
Volume	216
Pages (from-to)	524-528
Number of pages	5
ISSN	0166-218X
DOIs	https://doi.org/10.1016/j.dam.2015.05.034
Publication status	Published - 10.01.2017

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10.1016/j.dam.2015.05.034

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title = "An intersection theorem for systems of finite sets",

abstract = "For nonnegative reals ω, ψ and natural t≤k≤(n+t−1)/2, the maximum of ω|A∩([n]k)|+ψ|A∩([n]n+t−1−k)| among all t-intersecting set systems A⊆2[n] is determined.",

author = "Christian Bey",

year = "2017",

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doi = "10.1016/j.dam.2015.05.034",

language = "English",

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N2 - For nonnegative reals ω, ψ and natural t≤k≤(n+t−1)/2, the maximum of ω|A∩([n]k)|+ψ|A∩([n]n+t−1−k)| among all t-intersecting set systems A⊆2[n] is determined.

AB - For nonnegative reals ω, ψ and natural t≤k≤(n+t−1)/2, the maximum of ω|A∩([n]k)|+ψ|A∩([n]n+t−1−k)| among all t-intersecting set systems A⊆2[n] is determined.

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U2 - 10.1016/j.dam.2015.05.034

DO - 10.1016/j.dam.2015.05.034

M3 - Journal articles

AN - SCOPUS:84932092404

SN - 0166-218X

VL - 216

SP - 524

EP - 528

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

ER -

An intersection theorem for systems of finite sets

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