#10819: implementation of the cluster complex
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Reporter: stumpc5 | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone:
Component: combinatorics | Keywords: cluster complex
Author: Christian Stump | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The patch contains an implementation of the cluster complex for finite
types.
Can only applied after the cluster algebra and quiver package is
installed. This contains tickets #10347, #10349, #10538, #10527.
{{{
sage: ClusterComplex(['A',3])
Cluster complex of type ['A', 3] with 9 vertices and 14 facets
}}}
The vertices of the cluster complex are almost positive roots, and the
facets maximal subsets of compatible almost positive roots. The
implementation uses cluster variables and clusters to construct the
cluster complex.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10819>
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