Title
The topology of the independence complex
Abstract
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.
Year
DOI
Venue
2006
10.1016/j.ejc.2005.04.010
Eur. J. Comb.
Keywords
Field
DocType
independence complex,simplicial complex,large self-dual class,dominance complex,combinatorial alexander dual,member complex,homotopy equivalent,pointed simplicial complex
Topology,Combinatorics,Simplicial approximation theorem,Simplicial set,Simplicial homology,Simplicial manifold,Simplicial complex,h-vector,Combinatorial topology,Abstract simplicial complex,Mathematics
Journal
Volume
Issue
ISSN
27
6
0195-6698
Citations 
PageRank 
References 
22
2.08
9
Authors
2
Name
Order
Citations
PageRank
Richard Ehrenborg123348.40
Gábor Hetyei29619.34