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...

詳細記述

書誌詳細
第一著者: Johnston, T
その他の著者: Scott, A
フォーマット: 学位論文
言語:English
出版事項: 2021
主題: