Extendability of $1$-decomposable complexes

Rhea Ghosal, Melody Han, Benjamin Keller +5

A well-known conjecture of Simon (1994) states that any pure $d$-dimensional shellable complex on $n$ vertices can be extended to ${\Delta }_{n-1}^{(d)}$, the $d$-skeleton of the $(n-1)$-d…