#16310: Snake graph perfect matching formula for cluster variables
-------------------------------------+-------------------------------------
       Reporter:  egunawan           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:  days64, cluster    |    Merged in:
  algebras, triangulations           |    Reviewers:  gmoose05
        Authors:  egunawan           |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  048b942429156eedd61a1dccddd58597efac29a0
  u/egunawan/snakegraph              |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by egunawan):

 * commit:   => 048b942429156eedd61a1dccddd58597efac29a0
 * branch:   => u/egunawan/snakegraph


Comment:

 Last 10 new commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=5b1ee64aabd17cad252edf78af366903d8ed60c9
 5b1ee64]||{{{Musiker comment 1: Explain the difference between
 __edge_list_to_matrix and _surface_edge_list_to_matrix.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=8b60a04135a79004efdf748109cb8bb37a272b59
 8b60a04]||{{{Musiker comment 3: triangulation_dictionary is now a
 dictionary instead of a list.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=c1c19576fd7c5ddbff67ec433993a783468ecd45
 c1c1957]||{{{Gregg Musiker comment #5 and #8: ClusterTriangulation =
 class(ClusterSeed) instead of class(SageObject). Also allow
 ClusterTriangulation.mutate method to mutate a self-folded triangle's
 radius r. This mutation method is not quite an involution because it you
 mutate r twice you will end up with the same (unlabeled) triangulation but
 the label of r and the loop are switched.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=ba018c1e4f7808e87d9f1f9758ed5bcbd89347df
 ba018c1]||{{{Fix bug in ClusterTriangulation.mutate method and bug in
 ClusterTriangulation.get_edge_position method by introducing self._edges
 and self._arcs and self._boundary_edges (previously two lists to handle
 all the edges)}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=d33626f220615b7c1410dd494f16c57db16b9b57
 d33626f]||{{{Introduce new function _is_arc_mutable to check for more
 illegal triangulatons. For example, a noose (ell-loop) has to be mutable,
 i.e. inside an ideal quadrilateral.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=c380e75e716240f98ab5679a4cf8a133cc854a74
 c380e75]||{{{ticket 16310: Fix bug in ClusterTriangulation.mutate. Add
 more examples for that method.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=fd2c1df1e451a29b1ddcce257460fcbd3b4f513f
 fd2c1df]||{{{Tiket 16310:}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=329c48471d3f9ad3b9db562fab47e523b79895d8
 329c484]||{{{Ticket 16310:}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=0871a573f7cc87d28fee2ff0770700a0e9a9472f
 0871a57]||{{{Ticket 16310: description 'A cluster algebra' -> 'A seed for
 a cluster algebra'}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=048b942429156eedd61a1dccddd58597efac29a0
 048b942]||{{{Ticket 16310: Change the names of the four methods in
 ClusterTriangulation to map_label_to_variable, _get_map_label_to_variable,
 map_variable_to_label, and _get_map_variable_to_label. Fix incorrect error
 messages. Add more tests for cases when ClusterTriangulation has been
 mutated}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/16310#comment:33>
Sage <http://www.sagemath.org>
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