Year: 2026
Type: preprint
Abstract: We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every $d \geq 3$ we provide a pure $d$-dimensional shellable simplicial complex which is not shelling completable.
Source: arXiv (Cornell University)
Authors: Bolognini, Davide, Sentinelli, Paolo
Institution: Marche Polytechnic University
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162437210
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