#16310: (Code in progress) Snake graph perfect matching formula for cluster
variables
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Reporter: egunawan | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.3
Component: combinatorics | Resolution:
Keywords: cluster algebras from surfaces | Merged in:
Authors: | Reviewers: gmoose05
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by egunawan):
* cc: chapoton (added)
Old description:
> 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:
(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).
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Ticket URL: <http://trac.sagemath.org/ticket/16310#comment:2>
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