List questions from extremal-combinatorics

Published on 27 Jul 2021 - 6:22

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Prove that at least one student solved all the problems using PHP

Published on 28 Jul 2021 - 11:11

272

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Family of subsets of $n$-element set s. t. union of each four subsets has cardinality at most $n-2$ has size at most $2^{n-2}$

Published on 28 Jul 2021 - 17:37

136

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Are lower bounds for set systems with restricted intersection known in special cases?

Published on 30 Jul 2021 - 1:50

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p-biased measure is non-decreasing on increasing families

Published on 31 Jul 2021 - 11:01

31

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Large set systems such each set has at least one unique element

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303

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At most how many distinct unit vectors can be selected in $\mathbb R^n$ such that from any three of them, at least two are orthogonal?

Published on 04 Aug 2021 - 12:50

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What is the largest possible first place score in olympic sport climbing?

Published on 04 Aug 2021 - 18:03

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30 points in the plane 12 red segments and 17 blue segments from each point

Published on 28 Mar 2026 - 22:36

36

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What's the min# $x$ colors of squares spanning an $n×m$ rectangle satisfying adjacency of $\:0$ same-color orthogonally & $≤2$ of ea color diagonally?

Published on 16 Sep 2021 - 21:38

296

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Number of seats required in the generalised Wolf-Goat-Cabbage riddle

Published on 27 Mar 2026 - 14:02

349

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Ramsey's theorem of complete bipartite graph

Published on 29 Mar 2026 - 2:17

57

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Upper bound on the number of sequences

Published on 28 Sep 2021 - 14:23

272

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What is the list chromatic number of $K_{n,n}$?

Published on 04 Oct 2021 - 14:59

164

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Ramsey-Turán density function is well defined.

Published on 27 Mar 2026 - 18:17

List Question

A question about sizes of antichains

Prove that at least one student solved all the problems using PHP

Family of subsets of $n$-element set s. t. union of each four subsets has cardinality at most $n-2$ has size at most $2^{n-2}$

Are lower bounds for set systems with restricted intersection known in special cases?

p-biased measure is non-decreasing on increasing families

Large set systems such each set has at least one unique element

At most how many distinct unit vectors can be selected in $\mathbb R^n$ such that from any three of them, at least two are orthogonal?

What is the largest possible first place score in olympic sport climbing?

30 points in the plane 12 red segments and 17 blue segments from each point

What's the min# $x$ colors of squares spanning an $n×m$ rectangle satisfying adjacency of $\:0$ same-color orthogonally & $≤2$ of ea color diagonally?

Number of seats required in the generalised Wolf-Goat-Cabbage riddle

Ramsey's theorem of complete bipartite graph

Upper bound on the number of sequences

What is the list chromatic number of $K_{n,n}$?

Ramsey-Turán density function is well defined.

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