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Qizhong Lin, Two classical Ramsey-Turán numbers involving triangles

Wednesday, March 22, 2023 @ 4:30 PM - 5:30 PM KST

Zoom ID: 224 221 2686 (ibsecopro)


Qizhong Lin
Fuzhou University

In 1993, Erdős, Hajnal, Simonovits, Sós and Szemerédi proposed to determine the value of Ramsey-Turán density $\rho(3,q)$ for $q\ge3$. Erdős et al. (1993) and Kim, Kim and Liu (2019) proposed two corresponding conjectures. However, we only know four values of this Ramsey-Turán density by Erdős et al. (1993). There is no progress on this classical Ramsey-Turán density since then. In this talk, I will introduce two new values of this classical Ramsey-Turán density. Moreover, the corresponding asymptotically extremal structures are weakly stable, which answers a problem of Erdős et al. (1993) for the two cases. Joint work with Xinyu Hu.


Wednesday, March 22, 2023
4:30 PM - 5:30 PM KST
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Zoom ID: 224 221 2686 (ibsecopro)


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)
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