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Maximal Latin Rectangle not Containing Latin Rectangles

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#combinatorics #extremal-combinatorics
56
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Prove that $\text{ex}\left(n, \begin{pmatrix} 1 & 1\\ 1 & 1\end{pmatrix}\right) = \Theta(n^{3/2})$.

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#extremal-combinatorics #extremal-graph-theory
48
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Bounding the max number of points determining 2 distances

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#combinatorics #discrete-mathematics #extremal-combinatorics
21
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Maximum intersection of k-neighborhoods of a family of n-subsets

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#extremal-combinatorics
112
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Heilbronn problem on Unit Sphere

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#combinatorics #geometry #optimization #triangles #extremal-combinatorics
60
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Linear bound on maximal rectangle in a permutation

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#combinatorics #combinatorial-geometry #extremal-combinatorics
8.3k
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Number of Derangements of the word BOTTLE

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#combinatorics #combinations #inclusion-exclusion #extremal-combinatorics #derangements
167
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Combinatorial Puzzle: Greatest possible number of gangs

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#graph-theory #puzzle #extremal-combinatorics
1k
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Maximal independent sets in regular graphs?

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#combinatorics #graph-theory #extremal-combinatorics
60
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Maximal set of points covered by lines

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#combinatorics #combinatorial-geometry #extremal-combinatorics
39
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Number of pairs of multisets of integers satisfying arithmetic patterns

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#extremal-combinatorics #additive-combinatorics #probabilistic-method
170
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Combinatorics - distribution of objects into boxes

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#combinatorics #combinations #extremal-combinatorics
98
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Maximally distant spanning trees of a graph

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#graph-theory #extremal-combinatorics #matroids
20
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Non decreasing tuple for strict order

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#combinatorics #elementary-set-theory #order-theory #extremal-combinatorics
116
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Partitions with pairwise small intersection

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#combinatorics #extremal-combinatorics #combinatorial-designs

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