List questions from ramsey-theory

Published on 11 Oct 2015 - 12:13

535

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Lower bound for $R(3, 3,\ldots, 3)$

Published on 20 Mar 2026 - 1:48

154

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Are some results about coloring positive integers valid for other semigroups?

Published on 19 Oct 2015 - 6:56

4.9k

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An example showing that van der Waerden's theorem is not true for infinite arithmetic progressions

Published on 19 Oct 2015 - 17:22

850

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Use of pigeonhole principle in ramsey-theorem about monochromatic triangles.

Published on 22 Feb 2026 - 20:51

1.1k

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Ramsey number inequality proof

Published on 31 Oct 2015 - 21:32

308

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Ramsey coloring of $K_{13}$

Published on 04 Mar 2026 - 18:33

501

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Erdős-Szekeres theorem generalized example showing exactness

Published on 04 Nov 2015 - 14:06

292

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What does Ramsey theory tell us?

Published on 04 Nov 2015 - 17:22

96

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How to create a matrix in Hammersley's proof for Erdős-Szekeres Theorem?

Published on 05 Nov 2015 - 21:25

771

Views

Prove that there is a red triangle or a blue triangle that is is a sub-graph

Published on 13 Nov 2015 - 3:50

1k

Views

What are some important applications of the Erdős-Szekeres Theorem?

Published on 13 Nov 2015 - 23:53

329

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$n$ distinct real numbers has a monotone subsequence of length $k$ if $n \ge (k-1)^2 + 1$

Published on 15 Nov 2015 - 22:58

3.2k

Views

Pigeon-Hole Principle Common Sum

Published on 19 Nov 2015 - 1:34

521

Views

Show that in any group of 9 people there is always a subgroup of 3 mutual strangers or a subgroup of 4 mutual acquaintances.

Published on 20 Nov 2015 - 17:49

List Question

Lower bound for the Ramsey number $r(k,k)$

Lower bound for $R(3, 3,\ldots, 3)$

Are some results about coloring positive integers valid for other semigroups?

An example showing that van der Waerden's theorem is not true for infinite arithmetic progressions

Use of pigeonhole principle in ramsey-theorem about monochromatic triangles.

Ramsey number inequality proof

Ramsey coloring of $K_{13}$

Erdős-Szekeres theorem generalized example showing exactness

What does Ramsey theory tell us?

How to create a matrix in Hammersley's proof for Erdős-Szekeres Theorem?

Prove that there is a red triangle or a blue triangle that is is a sub-graph

What are some important applications of the Erdős-Szekeres Theorem?

$n$ distinct real numbers has a monotone subsequence of length $k$ if $n \ge (k-1)^2 + 1$

Pigeon-Hole Principle Common Sum

Show that in any group of 9 people there is always a subgroup of 3 mutual strangers or a subgroup of 4 mutual acquaintances.

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