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Results tagged with ramsey-theory
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user 119533
Branch of combinatorics with the philosophy that 'total disorder is impossible'. For example, Ramsey's theorem asserts that for each $n$, every sufficiently large graph either contains a clique of size $n$ or a stable set of size $n$.
5
votes
1
answer
353
views
Primitive recursive bounds for multidimensional polynomial vdW / HJ
In Shelah's paper 679, he proves primitive recursive bounds for the polynomial Hales-Jewett theorem and thus for the polynomial van der Waerden theorem.
How about for the multidimensional polynomial H …
- 383
2
votes
Accepted
Instance of polynomial van der Waerden without good bounds
Isn't this paper the most up to date? I believe the introduction covers all of the relevant literature.
"Proving a fully general quantitative polynomial Szemerédi theorem remains a very challenging o …
- 383