Timeline for Simplicial Representations of (Hyper)Graph Complexes
Current License: CC BY-SA 2.5
4 events
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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
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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 |