Abstract
The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study their basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.
| Original language | English |
|---|---|
| Pages (from-to) | 181-192 |
| Number of pages | 12 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| Publication status | Published - 2013 Nov 18 |
| Externally published | Yes |
| Event | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: 2013 Jun 24 → 2013 Jun 28 |
Keywords
- F-vector
- Face ring
- Manifold
- Stackedness
- Triangulation
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
- Discrete Mathematics and Combinatorics