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Dömötör Pálvölgyi, C-P3O: Orientation of convex sets and other good covers

Wednesday, September 7, 2022 @ 4:30 PM - 5:30 PM KST

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

Speaker

We introduce a novel definition of orientation on the triples of a family of pairwise intersecting planar convex sets and study its properties. In particular, we compare it to other systems of orientations on triples that satisfy a natural interiority condition. Such systems, P3O (partial 3-order), are a natural generalization of posets, and include the order types of planar point sets. Our main result is that P3O that emerge from points sets, p-P3O, and P3O that emerge from convex sets, C-P3O, do not contain each other. We also extend our orientation to other good covers from convex sets and study the resulting P3O’s.
Based on joint work with Agoston, Damasdi, and Keszegh:
https://arxiv.org/abs/2206.01721
https://arxiv.org/abs/2206.01723

Details

Date:
Wednesday, September 7, 2022
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:

Venue

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

Organizer

Joonkyung Lee (이준경)
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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