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

Institut für Mathematik

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.

Originalsprache	Englisch
Zeitschrift	Discrete Applied Mathematics
Jahrgang	216
Seiten (von - bis)	524-528
Seitenumfang	5
ISSN	0166-218X
DOIs	https://doi.org/10.1016/j.dam.2015.05.034
Publikationsstatus	Veröffentlicht - 10.01.2017

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10.1016/j.dam.2015.05.034

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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",

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journal = "Discrete Applied Mathematics",

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AU - Bey, Christian

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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

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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

Abstract

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