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Felix Christian Clemen, Triangles in the Plane

October 29 Tuesday @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)

Speaker

Felix Christian Clemen
IBS Extremal Combinatorics and Probability Group
https://sites.google.com/view/felix-christian-clemen/

A classical problem in combinatorial geometry, posed by Erdős in 1946, asks to determine the maximum number of unit segments in a set of $n$ points in the plane. Since then a great variety of extremal problems in finite planar point sets have been studied. Here, we look at such questions concerning triangles. Among others we answer the following question asked by Erdős and Purdy almost 50 years ago: Given $n$ points in the plane, how many triangles can be approximate congruent to equilateral triangles?

For our proofs we use hypergraph Turán theory. This is joint work with Balogh and Dumitrescu.

Details

Date:
October 29 Tuesday
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:

Venue

Room B332
IBS (기초과학연구원) + Google Map

Organizer

Sang-il Oum (엄상일)
View Organizer Website
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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