Curve graphs for Artin-Tits groups of type $B$, $\tilde{A}$ and $\tilde{C}$ are hyperbolic

Matthieu Calvez, Bruno A. Cisneros de la Cruz

The \emph{graph of irreducible parabolic subgroups} is a combinatorial object associated to an Artin-Tits group $A$ defined so as to coincide with the curve graph of the $(n+1)$-ti…