Abstract
We determine the homotopy type of the link of a nonempty face in the complex of not 2-connected graphs on n vertices. Corollaries of our main result are that the complex of not 2-connected 3-uniform hypergraphs on n vertices has the homotopy type of a wedge of spheres of dimension n - 4 and that the lattice of block-closed graphs on n vertices is Cohen-Macaulay.
| Original language | English |
|---|---|
| Pages (from-to) | 54-65 |
| Number of pages | 12 |
| Journal | Journal of Combinatorial Theory. Series A |
| Volume | 88 |
| Issue number | 1 |
| DOIs | |
| State | Published - Oct 1999 |