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DTSTART;TZID=Asia/Seoul:20230322T163000
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SUMMARY:Qizhong Lin\, Two classical Ramsey-Turán numbers involving triangles
DESCRIPTION: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.
URL:https://dimag.ibs.re.kr/event/2023-03-22/
LOCATION:Zoom ID: 224 221 2686 (ibsecopro)
CATEGORIES:Virtual Discrete Math Colloquium
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