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X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20240206T163000
DTEND;TZID=Asia/Seoul:20240206T173000
DTSTAMP:20260418T003728
CREATED:20231109T130523Z
LAST-MODIFIED:20240707T072539Z
UID:7892-1707237000-1707240600@dimag.ibs.re.kr
SUMMARY:Ander Lamaison\, Uniform Turán density beyond 3-graphs
DESCRIPTION:The uniform Turán density $\pi_u(F)$ of a hypergraph $F$\, introduced by Erdős and Sós\, is the smallest value of $d$ such that any hypergraph $H$ where all linear-sized subsets of vertices of $H$ have density greater than $d$ contains $F$ as a subgraph. Over the past few years the  value of $\pi_u(F)$ was determined for several classes of 3-graphs\, but no nonzero value of $\pi_u(F)$ has been found for $r$-graphs with $r>3$. In this talk we show the existence of $r$-graphs $F$ with $\pi_u(F)={r \choose 2}^{-{r \choose 2}}$\, which we conjecture is minimum possible. Joint work with Frederik Garbe\, Daniel Il’kovic\, Dan Král’ and Filip Kučerák.
URL:https://dimag.ibs.re.kr/event/2024-02-06/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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