28–30 Aug 2024
Bldg. S1-6 (자연대6호관)
Asia/Seoul timezone

Asymptotic bounds of Ramsey Numbers

28 Aug 2024, 14:30
1h
107 (Bldg. S1-6 (자연대6호관))

107

Bldg. S1-6 (자연대6호관)

Chungbuk National University (충북대학교) Cheongju, Korea.
Invited talk Invited Talk

Speaker

Jeong Han Kim (KIAS)

Description

Ramsey numbers, denoted as R(s,t), are fundamental in graph theory, representing the smallest number of vertices n such that every graph on n vertices either contains a clique of size s or an independent set of size t. Recent developments in Ramsey theory have focused on finding asymptotic bounds for Ramsey numbers. In this talk, we survey asymptotic bounds of Ramsey Numbers R(3,t) and R(4,t), including significant contributions of Sam Mattheus and Jacques Verstraete on R(4,t).

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