Non-extendably shellable skeleta of simplices
Combinatorics
2026-05-26 v1
Abstract
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 -dimensional shellable simplicial complex which is not shelling completable.
Cite
@article{arxiv.2605.24732,
title = {Non-extendably shellable skeleta of simplices},
author = {Davide Bolognini and Paolo Sentinelli},
journal= {arXiv preprint arXiv:2605.24732},
year = {2026}
}