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math.CO2023
Variations on the Bollobás set-pair theorem
Gábor Hegedüs, Péter Frankl
Let be an -element set. A set-pair system $\mbox{$\cal P$}=\{(A_i,B_i)\}_{1\leq i\leq m}$ is a collection of pairs of disjoint subsets of . It is called skew Bollobás sys…
math.CO2023
Upper bounds for the size of set systems with a symmetric set of Hamming distances
Gábor Hegedüs
Let $\mbox{$\cal F$}\subseteq 2^{[n]}$ be a fixed family of subsets. Let $D(\mbox{$\cal F$})$ stand for the following set of Hamming distances: $$ D(\mbox{}):=\{d_H(F,G):~…