2 papers
math.CO2026
Non-extendably shellable skeleta of simplices
Davide Bolognini, Paolo Sentinelli
We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every we provide a pure -d…
math.CO2025
The Lehmer complex of a Bruhat interval
Davide Bolognini, Paolo Sentinelli
We introduce Lehmer codes for several finite Coxeter groups, including all classical Weyl groups. These codes correspond to embed products of chains in the Bruhat order, which allo…