#20660: Add Certificate to is_isomorphic() in the matroids package
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       Reporter:  tara               |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-7.3
      Component:  matroid theory     |   Resolution:
       Keywords:  matroid,           |    Merged in:
  isomorphism                        |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  4ee8641a27d6ac2492f0233c057754af7acfc99f
  public/ticket/20660                |     Stopgaps:
   Dependencies:                     |
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Comment (by tara):

 Right now, I'm happy with the code except for in basis_exchange_matroid,
 `M1._is_isomorphic(M2, True)` yields the output `(True, True)` on line
 2272, and similarly on line 2278. This doesn't seem to be something that I
 caused directly, but might be due to the following code found in
 `_isomorphism()` in basis_matroid.pyx (lines 980-981).
 {{{
 if not isinstance(other, BasisMatroid):
     return BasisExchangeMatroid._is_isomorphic(self, other)
 }}}

 I'm not sure exactly how to tell what type of matroid a thing is when it
 gets instigated. Regardless, is there any reason why we don't want to or
 are unable to return an isomorphism in the above case?

--
Ticket URL: <http://trac.sagemath.org/ticket/20660#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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