#16310: Snake graph perfect matching formula for cluster variables from surfaces
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Reporter: egunawan | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: days64, days64.5, | Merged in:
cluster algebras, triangulations | Reviewers: gmoose05
Authors: egunawan | Work issues:
Report Upstream: N/A | Commit:
Branch: | e6d196d057c03e6f90e2e99a12bf3820a8047fcc
u/egunawan/snakegraph | Stopgaps:
Dependencies: |
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Changes (by egunawan):
* keywords: days64, cluster algebras, triangulations => days64, days64.5,
cluster algebras, triangulations
Old 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).
New description:
my branch for this ticket: u/egunawan/snakegraph
(fetch or pull this branch from Sage 6.7 master branch)
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:36>
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