Abstract
We show that every finite graded totally semimodular poset is EL-shellable. Furthermore, we show that if in a finite graded totally semimodular poset, every interval of length 2 is a diamond, then the poset is Eulerian.
| Original language | English |
|---|---|
| Pages (from-to) | 311-318 |
| Number of pages | 8 |
| Journal | Advances and Applications in Discrete Mathematics |
| Volume | 28 |
| Issue number | 2 |
| State | Published - 2021 |
Keywords
- EL-shellability
- Eulerian poset
- Gorenstein* poset