Question

For the multicolour Ramsey numbers, prove that $R_r(t_1,t_2,...,t_r) \leq r^{1 + \sum_{i=1}^r (t_i - 1)}$.

score 181 · Answer 1 · 2026-05-10 18:30:36

181

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For the multicolour Ramsey numbers, prove that $R_r(t_1,t_2,...,t_r) \leq r^{1 + \sum_{i=1}^r (t_i - 1)}$.

Published on 10 May 2026 - 18:30

score 195 · Answer 2 · 2026-04-15 00:31:37

195

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Oriented graphs with no infinite paths

Published on 15 Apr 2026 - 0:31

score 124 · Answer 3 · 2026-04-17 13:33:40

124

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Baumgartner's Proof of Hindman's Theorem - Question regarding Lemma 2

Published on 17 Apr 2026 - 13:33

score 168 · Answer 4 · 2026-03-26 01:14:54

168

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When are a set and its complement both syndetic?

Published on 26 Mar 2026 - 1:14

score 229 · Answer 5 · 2026-05-10 18:26:40

229

Views

Deduce the finite Ramsey theorem from the infinite case.

Published on 10 May 2026 - 18:26

score 345 · Answer 6 · 2026-04-11 22:14:03

345

Views

Upper Bound on Ramsey $R(k)$

Published on 11 Apr 2026 - 22:14

score 53 · Answer 7 · 2026-04-15 06:51:17

53

Views

van der Waerden with large step size

Published on 15 Apr 2026 - 6:51

score 908 · Answer 8 · 2026-05-10 19:40:40

908

Views

Coloring $\mathbb{N}$ with finitely many colors results in monochromatic $x,y,z \in \mathbb{N}$ such that $x+y = z$.

Published on 10 May 2026 - 19:40

score 66 · Answer 9 · 2026-05-10 17:16:03

66

Views

Canonical Ramsey theorem in $m$-uniform setting admits $2^m$ canonical colorings.

Published on 10 May 2026 - 17:16

score 70 · Answer 10 · 2026-05-10 14:32:16

70

Views

For $t \geq 3$, if $n \geq R^{(3)}(t,t)$, then n points in $\mathbb{R}^2$ always contain either t collinear points, or t points in convex position.

Published on 10 May 2026 - 14:32

score 179 · Answer 11 · 2026-05-10 19:40:49

179

Views

What additional properties does a finite $k$-partite graph have if the endpoints of every edge have a common neighbor in each independent set?

Published on 10 May 2026 - 19:40

score 372 · Answer 12 · 2026-03-26 03:11:34

372

Views

the k-SRP stationary Ramsey property

Published on 26 Mar 2026 - 3:11

score 114 · Answer 13 · 2026-04-10 13:33:41

114

Views

Ramsey theory & Big data problem

Published on 10 Apr 2026 - 13:33

score 485 · Answer 14 · 2026-04-14 15:44:44

485

Views

Schur's theorem and numbers

Published on 14 Apr 2026 - 15:44

score 225 · Answer 15 · 2026-04-09 08:28:21

225

Views

$S-S$ is syndetic set if $S$ has positive upper density, in the case of group action

Published on 09 Apr 2026 - 8:28

List Question

For the multicolour Ramsey numbers, prove that $R_r(t_1,t_2,...,t_r) \leq r^{1 + \sum_{i=1}^r (t_i - 1)}$.

Oriented graphs with no infinite paths

Baumgartner's Proof of Hindman's Theorem - Question regarding Lemma 2

When are a set and its complement both syndetic?

Deduce the finite Ramsey theorem from the infinite case.

Upper Bound on Ramsey $R(k)$

van der Waerden with large step size

Coloring $\mathbb{N}$ with finitely many colors results in monochromatic $x,y,z \in \mathbb{N}$ such that $x+y = z$.

Canonical Ramsey theorem in $m$-uniform setting admits $2^m$ canonical colorings.

For $t \geq 3$, if $n \geq R^{(3)}(t,t)$, then n points in $\mathbb{R}^2$ always contain either t collinear points, or t points in convex position.

What additional properties does a finite $k$-partite graph have if the endpoints of every edge have a common neighbor in each independent set?

the k-SRP stationary Ramsey property

Ramsey theory & Big data problem

Schur's theorem and numbers

$S-S$ is syndetic set if $S$ has positive upper density, in the case of group action

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