Abstract
A technique of minimal free resolutions of Stanley-Reisner rings enables us to show the following two results: (1) The 1-skeleton of a simplicial (d - 1)-sphere is d-connected, which was first proved by Barnette; (2) The comparability graph of a non-planar distributive lattice of rank d - 1 is d-connected.
| Original language | English |
|---|---|
| Pages (from-to) | 89-93 |
| Number of pages | 5 |
| Journal | Journal of Algebraic Combinatorics |
| Volume | 6 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1997 |
| Externally published | Yes |
Keywords
- 1-skeleton
- Comparability graph
- Free resolution
- Simplicial complex
- d-connected
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics