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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220801T163000
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SUMMARY:Seunghun Lee (이승훈)\, Inscribable order types
DESCRIPTION:We call an order type inscribable if it is realized by a point configuration where all extreme points are all on a circle. In this talk\, we investigate inscribability of order types. We first show that every simple order type with at most 2 interior points is inscribable\, and that the number of such order types is $\Theta(\frac{4^n}{n^{3/2}})$. We further construct an infinite family of minimally uninscribable order types. The proof of uninscribability mainly uses Möbius transformations. We also suggest open problems around inscribability. This is a joint work with Michael Gene Dobbins.
URL:https://dimag.ibs.re.kr/event/2022-08-01/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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