We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes in this class include independence and dominance complexes of forests, pointed simplicial complexes, and their combinatorial Alexander duals.
|Number of pages||18|
|Journal||European Journal of Combinatorics|
|State||Published - Aug 2006|
Bibliographical noteFunding Information:
The first author was partially supported by National Science Foundation grant 0200624. The second author is on leave from the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, and he is partially supported by Hungarian National Foundation for Scientific Research grant no. F032325. He thanks the first author and the University of Kentucky, where this research was initiated, for their hospitality. Both authors thank Margaret Readdy, Vic Reiner, and a referee for helpful comments and suggestions.
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics