#16310: Snake graph perfect matching formula for cluster variables
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Reporter: egunawan | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.3
Priority: major | Keywords: cluster algebras from
Component: | surfaces
combinatorics | Authors:
Merged in: | Report Upstream: N/A
Reviewers: gmoose05 | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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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>
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