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PRODID:-//Discrete Mathematics Group - ECPv4.9.9//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20190312T163000
DTEND;TZID=Asia/Seoul:20190312T173000
DTSTAMP:20191020T194501
CREATED:20190226T113020Z
LAST-MODIFIED:20190226T113020Z
UID:635-1552408200-1552411800@dimag.ibs.re.kr
SUMMARY:Andreas Holmsen\, Large cliques in hypergraphs with forbidden substructures
DESCRIPTION:A result due to Gyárfás\, Hubenko\, and Solymosi\, answering a question of Erdős\, asserts that if a graph $G$ does not contain $K_{2\,2}$ as an induced subgraph yet has at least $c\binom{n}{2}$ edges\, then $G$ has a complete subgraph on at least $\frac{c^2}{10}n$ vertices. In this paper we suggest a “higher-dimensional” analogue of the notion of an induced $K_{2\,2}$\, which allows us to extend their result to $k$-uniform hypergraphs. Our result also has interesting consequences in topological combinatorics and abstract convexity\, where it can be used to answer questions by Bukh\, Kalai\, and several others. \n
URL:https://dimag.ibs.re.kr/event/2019-03-12/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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