Around the Complete Intersection Theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2016 Hungary English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 216, pages 618-621 (issn: 0166-218X,

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Authors: Katona, Gyula;

doi: 10.1016/j.dam.2016.01.008 , 10.48550/arxiv.1602.02634

arXiv: 1602.02634

Around the Complete Intersection Theorem

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Abstract

The celebrated theorem of Ahlswede and Khachatrian determines the maximum size of a family of $k$-element subsets of an $n$-element set where the intersection of any two subsets has at least $r$ elements. This survey first gives a historical introduction, then it shows some applications.

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Hungary

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Keywords

05D05, QA Mathematics / matematika, families of subsets, Extremal set theory, FOS: Mathematics, Mathematics - Combinatorics, extremal combinatorics, Combinatorics (math.CO), intersecting families

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