#17309: SubHypergraphSearch
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   Reporter:  ncohen         |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-6.4
  Component:  PLEASE CHANGE  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 At long long long long last.

 I have been wanting to write this for ages but never really needed it. And
 one should never implement something unless one needs it.

 Here it is. It does what `SubgraphSearch` already does for graphs, but it
 does it for hypergraphs. The code is just a simple eunmeration of all
 possibilities, with a couple of cuts. The implementation tries to make
 this as cheap as possible.

 We now have a `IncidenceStructure.isomorphic_substructures_iterator` whose
 name is similar to the new `Poset.has_isomorphic_subposet`.

 Oh, and it does not work if the pattern you try to find had >64 points. It
 is already very large considering how hard it is to run this code anyway,
 plus making it work for >64 implied a +50% cost even for small instances
 on my use case. So I thought it was not worth it.

 Right now it handles induced and non-induced hypergraph. Later, in another
 patch, it can be improved into a way to deal with another definition of
 "substructure" and compute things like the VC-dimension, in case somebody
 cares.

--
Ticket URL: <http://trac.sagemath.org/ticket/17309>
Sage <http://www.sagemath.org>
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