#15612: We need unordered trees
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       Reporter:  darij          |        Owner:
           Type:  task           |       Status:  new
       Priority:  major          |    Milestone:  sage-wishlist
      Component:  combinatorics  |   Resolution:
       Keywords:  trees          |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Comment (by darij):

 There is something that I'm still kind-of missing: The labelled rooted
 trees on {1, 2, ..., n}. We don't have them, do we? They can be
 implemented as lists (g(1), g(2), ..., g(n)), where g(i) is the father of
 i if such a father exists and 0 else. They are a basis for a Hopf algebra,
 and I still have some ancient code that defines this Hopf algebra
 (although I'm not sure about the quality of that code). What could be
 tricky: Can we make them inherit from `LabelledRootedTree`, or only
 convert to such?

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Ticket URL: <http://trac.sagemath.org/ticket/15612#comment:11>
Sage <http://www.sagemath.org>
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