#16310: Snake graph perfect matching formula for cluster variables
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Reporter: egunawan | Owner:
Type: enhancement | Status:
Priority: major | needs_work
Component: combinatorics | Milestone: sage-6.6
Keywords: days64, cluster algebras, | Resolution:
triangulations | Merged in:
Authors: egunawan | Reviewers: gmoose05
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by egunawan):
* commit: 1f1c3db28b47347c6540355bc6b2ae0d26d60045 =>
* branch: public/ticket/16310 =>
Old 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).
New description:
Most recent stable version is available at branch: u/egunawan/snakegraph
(Sage 6.6.beta5)
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).
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Ticket URL: <http://trac.sagemath.org/ticket/16310#comment:32>
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