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Konstantin Tikhomirov, A remark on the Ramsey number of the hypercube

October 6 Thursday @ 10:00 AM - 11:00 AM KST

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

A well-known conjecture of Burr and Erdős asserts that the Ramsey number $r(Q_n)$ of the hypercube $Q_n$ on $2^n$ vertices is of the order $O(2^n)$. In this paper, we show that $r(Q_n)=O(2^{2n−cn})$ for a universal constant $c>0$, improving upon the previous best-known bound $r(Q_n)=O(2^{2n})$, due to Conlon, Fox, and Sudakov.

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Date:
October 6 Thursday
Time:
10:00 AM - 11:00 AM KST
Event Category:
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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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