A Bollob\'as-type problem: from root systems to Erd\H{o}s-Ko-Rado

Motivated by an Erd\H{o}s--Ko--Rado type problem on sets of strongly orthogonal roots in the $A_{\ell}$ root system, we estimate bounds for the size of a family of pairs $(A_{i}, B_{i})$ of $k$-subsets in $\{ 1, 2, \ldots, n\}$ such that $A_{i} \cap B_{j}= \emptyset$ and $|A_{i} \cap A_{j}| + |B_{i}...

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Hauptverfasser:	Browne, Patrick J, Gashi, Qëndrim R, Catháin, Padraig Ó
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
Online-Zugang:	Volltext bestellen
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