#14197: Add map from PerfectMatchings to Permutations. Fix string 
representation in
perfect matchings.
-----------------------------------------------+----------------------------
       Reporter:  ahmorales                    |         Owner:  sage-combinat  
                   
           Type:  enhancement                  |        Status:  needs_review   
                   
       Priority:  minor                        |     Milestone:  sage-5.8       
                   
      Component:  combinatorics                |    Resolution:                 
                   
       Keywords:  perfect matchings            |   Work issues:                 
                   
Report Upstream:  N/A                          |     Reviewers:  Alejandro 
Morales, Christian Stump
        Authors:  Chris Berg, Christian Stump  |     Merged in:                 
                   
   Dependencies:                               |      Stopgaps:                 
                   
-----------------------------------------------+----------------------------
Changes (by {'newvalue': u'Chris Berg, Christian Stump', 'oldvalue': u'Chris 
Berg'}):

  * reviewer:  Alejandro Morales => Alejandro Morales, Christian Stump
  * author:  Chris Berg => Chris Berg, Christian Stump


Old description:

> Add a function that takes a perfect matching and returns the associated
> fixed-point free involution.
>

> Lastly, change the string representation "_repr_" from PerfectMatching
> [(1,2), (3,4)] to [(1,2), (3,4)].

New description:

 Provides some further functionalities for perfect matchings:

 - implements the maps to fixed-point free involutions and to the
 corresponding graph
 - implements a hash
 - reorders the ordering of the elements in the iterator through
 !PerfectMatchings
 - removes the string "Perfect matching" from the string representation.

--

Comment:

 The patchbot is happy, so I think it is ready to go!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14197#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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