Sunflowers and -intersecting families

Let stand for the least number so that if is an arbitrary -uniform, -intersecting set system, where , and has more than elements, then contains a sunflower with petals. We give an upper bound for .

Bibliographic Details
Main Author: Gábor Hegedűs
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2019.02.005
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spelling doaj-58ed96b3ebcd4927a8afec6d78b098112020-12-17T17:28:37ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742020-01-0117140240610.1016/j.akcej.2019.02.0051760571Sunflowers and -intersecting familiesGábor Hegedűs0Óbuda UniversityLet stand for the least number so that if is an arbitrary -uniform, -intersecting set system, where , and has more than elements, then contains a sunflower with petals. We give an upper bound for .http://dx.doi.org/10.1016/j.akcej.2019.02.005-system-intersecting familiesextremal set theory
collection DOAJ
language English
format Article
sources DOAJ
author Gábor Hegedűs
spellingShingle Gábor Hegedűs
Sunflowers and -intersecting families
AKCE International Journal of Graphs and Combinatorics
-system
-intersecting families
extremal set theory
author_facet Gábor Hegedűs
author_sort Gábor Hegedűs
title Sunflowers and -intersecting families
title_short Sunflowers and -intersecting families
title_full Sunflowers and -intersecting families
title_fullStr Sunflowers and -intersecting families
title_full_unstemmed Sunflowers and -intersecting families
title_sort sunflowers and -intersecting families
publisher Taylor & Francis Group
series AKCE International Journal of Graphs and Combinatorics
issn 0972-8600
2543-3474
publishDate 2020-01-01
description Let stand for the least number so that if is an arbitrary -uniform, -intersecting set system, where , and has more than elements, then contains a sunflower with petals. We give an upper bound for .
topic -system
-intersecting families
extremal set theory
url http://dx.doi.org/10.1016/j.akcej.2019.02.005
work_keys_str_mv AT gaborhegedus sunflowersandintersectingfamilies
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