Fetching the paper…
Reading the bibliography…
The Ramsey number $R(k)$ is the minimum $n \in \mathbb{N}$ such that every red-blue colouring of the edges of the complete graph $K_n$ on $n$ vertices contains a monochromatic copy of $K_k$.
F.P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. , 30
1930
Earlier work this paper cites.
P. Erdős and G. Szekeres, A combinatorial problem in geometry, Compos. Math. , 2
1935
Earlier work this paper cites.
P. Erdős, Some remarks on the theory of graphs, Bull. Amer. Math. Soc. , 53
1947
Earlier work this paper cites.
J. Spencer, Asymptotic lower bounds for Ramsey functions, Discrete Math. , 20
1977
Earlier work this paper cites.
M. Ajtai, J. Komlós and E. Szemerédi, A note on Ramsey numbers, J. Combin. Theory, Ser. A , 29
1980
Earlier work this paper cites.
J.B. Shearer, A note on the independence number of triangle-free graphs, Discrete Math. , 46
1983
Earlier work this paper cites.
R.L. Graham and V. Rödl, Numbers in Ramsey theory, Surveys in Combinatorics, London Math. Soc. Lecture Note Series, 123
1987
Earlier work this paper cites.
A. Thomason, An upper bound for some Ramsey numbers, J. Graph Theory , 12
1988
Earlier work this paper cites.
R.L. Graham, B.L. Rothschild and J.H. Spencer, Ramsey theory, Vol. 20. John Wiley & Sons, 1991
1991
Cited alongside, same era.
J.H. Kim, The Ramsey number R ( 3 , t ) R(3,t) has order of magnitude t 2 / log t t^{2}/\log t , Random Structures Algorithms , 7
1995
Cited alongside, same era.
M. Krivelevich and B. Sudakov, Pseudo-random graphs, In: More Sets, Graphs and Numbers: A Salute to Vera Sós and András Hajnal (E. Győri, G.O.H. Katona and L. Lovász, eds.), Bolyai Society Mathematical Studies, 15, Springer, 2006, 199–262
2006
Cited alongside, same era.
T. Bohman, The triangle-free process, Adv. Math. , 221
2009
Cited alongside, same era.
D. Conlon, A new upper bound for diagonal Ramsey numbers, Ann. Math. , 170
2009
Cited alongside, same era.
D. Conlon, The Ramsey number of books, Adv. Combin. , 2019:3, 12pp
2019
Later among the works it cites.
G. Fiz Pontiveros, S. Griffiths and R. Morris, The triangle-free process and the Ramsey numbers R ( 3 , k ) R(3,k) , Mem. Amer. Math. Soc. , 263
2020
Later among the works it cites.
T. Bohman and P. Keevash, Dynamic Concentration of the Triangle-Free Process, Random Structures Algorithms , 58
2021
Later among the works it cites.
D. Conlon, J. Fox and Y. Wigderson, Ramsey numbers of books and quasirandomness, Combinatorica , 42
2022
Later among the works it cites.
D. Conlon, J. Fox and Y. Wigderson, Off-diagonal book Ramsey numbers, Combin. Probab. Computing , 32
2023
Closest in time.
A. Sah, Diagonal Ramsey via effective quasirandomness, Duke Math. J. , 172
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Conlon, J. Fox and B. Sudakov, Recent developments in graph Ramsey theory, Surveys in Combinatorics, 424
2015
Cited alongside, same era.
N. Alon and J. Spencer, The Probabilistic Method (4th edition), John Wiley & Sons, 2016
2016
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
2023
Closest in time.
S. Mattheus and J. Verstraete, The asymptotics of r ( 4 , t ) r(4,t) , Ann. Math. , 199
2024
Closest in time.