#19457: Generator for full binary trees
-------------------------------------+-------------------------------------
       Reporter:  patxiku            |        Owner:  patxiku
           Type:  enhancement        |       Status:  new
       Priority:  minor              |    Milestone:  sage-6.10
      Component:  combinatorics      |   Resolution:
       Keywords:  binary trees,      |    Merged in:
  full                               |    Reviewers:
        Authors:  Adrien             |  Work issues:
  Boussicault, Bérénice Delcroix-    |       Commit:
  Oger, Patxi Laborde-Zubieta        |  dcd497e3d2f4a0956f9e04cc169ba4d62f5438bb
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/patxiku/generator_for_full_binary_trees|
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * commit:   => dcd497e3d2f4a0956f9e04cc169ba4d62f5438bb


Comment:

 The definition in `BinaryTree` is not correct as it does not allow for the
 "nodes" with one element. IMO, a leaf is a node too.

 From a quick lookover, the reason why binary trees don't compare to full
 binary trees is that they have different parents. There is an abuse that
 `BinaryTrees_size` does not know it is a facade parent for
 `BinaryTrees_all`, but it is why the equality works. To make the equality
 work by continuing this abuse, you should make `FullBinaryTrees_all` act
 as a facade for `BinaryTrees_all`.

 Let me know when you're ready for me to do a formal review.

 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=24f6f7b4081cc2f474e57f586b35e4b83977a094
 24f6f7b]||{{{Generator implementation of full binary trees.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=dcd497e3d2f4a0956f9e04cc169ba4d62f5438bb
 dcd497e]||{{{Documentation : remove_nodes_with_two_child_leaves}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/19457#comment:7>
Sage <http://www.sagemath.org>
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