List questions from combinatorial-geometry

Published on 20 Mar 2020 - 8:59

301

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Number of $2$-colorings of edges of the $n$-dimensional cube?

Published on 23 Feb 2026 - 5:15

226

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Use Szemerédi-Trotter to show that $n$ points in the plane determine at most $O(n^{7/3})$ triangles that contain a fixed acute angle $\alpha$.

Published on 25 Mar 2020 - 14:43

80

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Counting number of points on plane in special procedure

Published on 01 Apr 2020 - 13:29

38

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On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Published on 25 Mar 2026 - 11:01

1.4k

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Fractal Pattern from Queen's Move Construction

Published on 23 Feb 2026 - 2:52

284

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Essentialization of hyperplane arrangement

Published on 08 Apr 2020 - 16:28

404

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Show that there are $3$ vertices of the same color forming an isosceles triangle.

Published on 10 Apr 2020 - 4:57

33

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$E1\otimes E2\,\iff\,Q1WQ2=(Q1E1)\otimes(E2Q2)$ - Meshulam's "On the maximal rank in a subspace of matrices"

Published on 15 Apr 2020 - 11:57

121

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Choosing representatives with spatial separation

Published on 17 Apr 2020 - 13:23

68

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About vertex cut set

Published on 25 Mar 2026 - 0:42

199

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Is there a $4$-by-$4$, rank $3$, positive semidefinite matrix with $a_{ii}=3$, $|a_{12}|\neq 1$, and principal minors having minimal eigenvalue $1$?

Published on 19 Apr 2020 - 11:34

59

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(Extended?) Travelling salesman Problem

Published on 21 Apr 2020 - 9:02

1.2k

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The Maximum number of points of intersection of 4 distinct circles and 8 distinct straight lines is

Published on 22 Apr 2020 - 12:34

81

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Problem about Tverberg number: Let $d,r_1,r_2$ natural numbers then we have $T(d,r_1r_2)$ $<=T(d,r_1)T(d,r_2)$

Published on 24 Apr 2020 - 17:24

List Question

The adjacent number game.

Number of $2$-colorings of edges of the $n$-dimensional cube?

Use Szemerédi-Trotter to show that $n$ points in the plane determine at most $O(n^{7/3})$ triangles that contain a fixed acute angle $\alpha$.

Counting number of points on plane in special procedure

On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Fractal Pattern from Queen's Move Construction

Essentialization of hyperplane arrangement

Show that there are $3$ vertices of the same color forming an isosceles triangle.

$E1\otimes E2\,\iff\,Q1WQ2=(Q1E1)\otimes(E2Q2)$ - Meshulam's "On the maximal rank in a subspace of matrices"

Choosing representatives with spatial separation

About vertex cut set

Is there a $4$-by-$4$, rank $3$, positive semidefinite matrix with $a_{ii}=3$, $|a_{12}|\neq 1$, and principal minors having minimal eigenvalue $1$?

(Extended?) Travelling salesman Problem

The Maximum number of points of intersection of 4 distinct circles and 8 distinct straight lines is

Problem about Tverberg number: Let $d,r_1,r_2$ natural numbers then we have $T(d,r_1r_2)$ $<=T(d,r_1)T(d,r_2)$

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