前两段视频中提到的关于拉姆齐号的一些参考资料如下。
对角拉姆齐数:
[1] 博士。康龙,对角拉姆齐数的一个新上界,安。数学系。170 (2009), 941–
[2].A. Sah, Diagonal Ramsey via effective quasirandomness, preprint available at arXiv:2005.09251
[math.CO].
[3].P. Erdos and G. Szekeres, A combinatorial problem in geometry, Compos. Math. 2 (1935), 463–
470.
[4].J. Spencer, Ramsey’s theorem — a new lower bound, J. Combin. Theory Ser. A 18 (1975),
108–115.
非对角Ramsey数:
[5].M. Ajtai, J. Koml´os and E. Szemer´edi, A note on Ramsey numbers, J. Combin. Theory, Ser. A, 29
(1980), 354–360.
[6].P. Erdos, Graph theory and probability II, Canadian J. Math, 13 (1961), 346–352.
[7].J.B. Shearer, A note on the independence number of triangle-free graphs, Discrete Math., 46 (1983),
83–87.
[8].T. Bohman and P. Keevash, Dynamic Concentration of the Triangle-Free Process
[9].G. Fiz Pontiveros, S. Griffiths and R. Morris The triangle-free process and the Ramsey number R(3,k). Mem. Amer. Math. Soc., 263 (2020), 125pp.