Abstract
We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 295-296 |
| Number of pages | 2 |
| Journal | Discrete Mathematics |
| Volume | 263 |
| Issue number | 1-3 |
| DOIs | |
| Publication status | Published - 2003 Feb 28 |
Keywords
- Combinatorial topology
- Enumeration
- Extendable shellability
- Incremental construction
- Shellability
- Vertex decomposability
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics