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 | American English |
|---|---|
| Pages (from-to) | 181-192 |
| Number of pages | 12 |
| Journal | DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE |
| State | Published - 18 Nov 2013 |
| Event | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: 24 Jun 2013 → 28 Jun 2013 |
Keywords
- F-vector
- Face ring
- Manifold
- Stackedness
- Triangulation
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- General Computer Science
- Discrete Mathematics and Combinatorics