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Apr 5, 2010 at 14:26 history edited Gwyn Whieldon CC BY-SA 2.5
Responded to comment, added explicit example of desired computation.; added 16 characters in body
Apr 2, 2010 at 4:22 comment added Dylan Thurston Can you give some examples of what kind of property you're thinking about? In particular, do they satisfy a stronger monotonicity condition where deleting a face and adding back any collection of sub-faces preserves the property?
Apr 1, 2010 at 20:29 comment added Gwyn Whieldon It's worth noting that the property of being a clutter at all is a monotone hypergraph property, so the set of clutters forms a subcomplex of the simplex on $2^n$ vertices mentioned above. An alternate answer to the first question then would be to answer, "What's the homotopy type/topological structure on the subcomplex of all clutters?" Are there better simplicial representations of clutters than this? What about simplicial representations when the hypergraph is viewed as a simplicial complex?
Apr 1, 2010 at 19:38 history asked Gwyn Whieldon CC BY-SA 2.5