Problems in extremal and probabilistic combinatorics: cubes, squares and permutations
<p>We begin by studying the possible intersection sizes of a $k$-dimensional linear subspace with the hypercube $\{0,1\}^n$. For a fixed $k$, the largest intersection size is $2^k$ and it was shown by Melo and Winter that the second largest intersection size is $2^{k-1} + 2^{k-2}$. We show tha...
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| Médium: | Diplomová práce |
| Jazyk: | English |
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2021
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