List questions from ramsey-theory

Published on 04 Jun 2022 - 12:04

75

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Complete $k$-partite graphs that are $K_r$-free for some $k\in \mathbb{Z}^{+}$

Published on 27 Mar 2026 - 16:53

59

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Erdős–Rado theorem generalisation for infinitely many colours

Published on 27 Mar 2026 - 3:57

78

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Number of intersecting $k$-arithmetic progressions below $n$ is capped by $nk$

Published on 19 Jun 2022 - 12:00

54

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Is it true that for sequences that satisfy the property-type in Goldbach's conjecture, there is an integer which cannot be expressed in a unique way?

Published on 26 Mar 2026 - 13:01

54

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Show that $R_3(k) > \frac{k}{3e} \sqrt {3}^k$ and $R_r(3) > 2^r$ .

Published on 20 Jun 2022 - 7:41

161

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Ramsey-Turan number

Published on 27 Mar 2026 - 20:12

86

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Combinatorics: Ramsey Theory Problem

Published on 27 Jun 2022 - 9:29

47

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How to formulate the symmetry in Ramsey's theorem for $c$ colours?

Published on 27 Mar 2026 - 3:59

113

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Monochromatic solution to $x + qy = z$ for $q \in \mathbb{Q}$

Published on 01 Jul 2022 - 23:39

64

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How does the Finite Ramsey Theorem imply the existence of Ramsey numbers

Published on 13 Jul 2022 - 0:46

80

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Possibly alternative definition of Ramsey numbers?

Published on 11 Aug 2022 - 16:13

74

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Prove that enough points in the plane guarantee there is a convex hexagon

Published on 18 Aug 2022 - 15:50

44

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Finding order when disordering an ordered set

Published on 23 Aug 2022 - 23:28

52

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Lower bound on the number of points in general position in the plane guaranteeing an n-cup or n-cap

Published on 24 Aug 2022 - 14:39

List Question

guaranteed size of submatrix consisting of ones

Complete $k$-partite graphs that are $K_r$-free for some $k\in \mathbb{Z}^{+}$

Erdős–Rado theorem generalisation for infinitely many colours

Number of intersecting $k$-arithmetic progressions below $n$ is capped by $nk$

Is it true that for sequences that satisfy the property-type in Goldbach's conjecture, there is an integer which cannot be expressed in a unique way?

Show that $R_3(k) > \frac{k}{3e} \sqrt {3}^k$ and $R_r(3) > 2^r$ .

Ramsey-Turan number

Combinatorics: Ramsey Theory Problem

How to formulate the symmetry in Ramsey's theorem for $c$ colours?

Monochromatic solution to $x + qy = z$ for $q \in \mathbb{Q}$

How does the Finite Ramsey Theorem imply the existence of Ramsey numbers

Possibly alternative definition of Ramsey numbers?

Prove that enough points in the plane guarantee there is a convex hexagon

Finding order when disordering an ordered set

Lower bound on the number of points in general position in the plane guaranteeing an n-cup or n-cap

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