#16310: Snake graph perfect matching formula for cluster variables
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       Reporter:  egunawan           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorics      |   Resolution:
       Keywords:  cluster algebras   |    Merged in:
  from surfaces                      |    Reviewers:  gmoose05
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  0f5e39a98a4eb55df7bc0e0e6ed1335f9b7084a6
  u/egunawan/ticket/16310            |     Stopgaps:
   Dependencies:                     |
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Changes (by egunawan):

 * status:  new => needs_review


Old description:

> (Code in progress) Enhancement to the cluster_algebra_quiver package:
> User can define a cluster algebra seed by entering a triangulation T of a
> surface. User can then compute the T-expansion of an arc or loop gamma by
> entering the arcs of T  that gamma crosses.
>
> The algorithm used is the perfect matching formula from the following
> papers:
> "Positivity for cluster algebras from surfaces"
> http://arxiv.org/abs/0906.0748 (section 4).
> "Bases for cluster algebras from surfaces" http://arxiv.org/abs/1110.4364
> (section 3).

New description:

 Enhancement to the cluster_algebra_quiver package: User can define a
 cluster algebra seed by entering a cluster triangulation class T of a
 surface. User can then compute the T-expansion of an arc or loop gamma by
 entering the arcs of T  that gamma crosses.

 The algorithm used is the perfect matching formula from the following
 papers:
 "Positivity for cluster algebras from surfaces"
 http://arxiv.org/abs/0906.0748 (section 4).
 "Bases for cluster algebras from surfaces" http://arxiv.org/abs/1110.4364
 (section 3).

--

Comment:

 When I run "./sage -docbuild reference/combinat html" I get errors and I
 have not been able to figure out how to fix them.

 When pushing to trac, I did "git push --set-upstream trac
 HEAD:u/egunawan/ticket/16310". Was this the correct command?

--
Ticket URL: <http://trac.sagemath.org/ticket/16310#comment:13>
Sage <http://www.sagemath.org>
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