#10819: implementation of the cluster complex
-----------------------------+----------------------------------------------
Reporter: stumpc5 | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone:
Component: combinatorics | Keywords: cluster complex
Work_issues: | Upstream: N/A
Reviewer: | Author: Christian Stump
Merged: | Dependencies: 10538,
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Changes (by stumpc5):
* status: new => needs_review
* dependencies: => 10538,
Old description:
> 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.
New description:
The patch contains an implementation of the cluster complex for finite
types.
{{{
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.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10819#comment:2>
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