Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices (Q2195223)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices |
scientific article |
Statements
Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices (English)
0 references
8 September 2020
0 references
Summary: We prove that for all \(d \geq 1\), a shellable \(d\)-dimensional complex with at most \(d+3\) vertices is extendably shellable. The proof involves considering the structure of ``exposed'' edges in chordal graphs as well as a connection to linear quotients of quadratic monomial ideals.
0 references
