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 |
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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