#10538: Implementation of the class ClusterQuiver
-------------------------------------------+--------------------------------
       Reporter:  stumpc5                  |         Owner:               
           Type:  enhancement              |        Status:  needs_review 
       Priority:  major                    |     Milestone:  sage-5.3     
      Component:  combinatorics            |    Resolution:               
       Keywords:  cluster algebra, quiver  |   Work issues:               
Report Upstream:  N/A                      |     Reviewers:  Gregg Musiker
        Authors:  Christian Stump          |     Merged in:               
   Dependencies:  #10527                   |      Stopgaps:               
-------------------------------------------+--------------------------------

Comment (by gmoose05):

 I just re-uploaded my patch.  Christian, thanks for catching those bugs.

 * The trailing whitespace should be gone now.  I don't think I introduced
 any new space, but will double-check after the patchbot is finished re-
 running.

 * I agree with you about .mutation_type() instead of ._mutation_type but
 we have not defined .mutation_type() yet.

 Once we add in the newer patches, we should remember to include editing
 these doc-tests.

 * The wording in exchangeable_part has been changed.

 * Yes, that it is better - the warnings in mutate have been turned into
 Value Errors

 * Regarding twist [1,2] and [2,1].  This is a little more subtle.  So

 {{{
 sage: QuiverMutationType(['F',4,[1,2]])
 }}}
 and
 {{{
 sage: QuiverMutationType(['F',4,[2,1]])
 }}}
 both give you:
 {{{
 ['F', 4, [1, 2]]
 }}}

 In fact,

 {{{
 sage: QuiverMutationType(['F',4,[2,1]]) ==
 QuiverMutationType(['F',4,[1,2]])
 True
 }}}

 We have as before:

 {{{
 sage: Q = Quiver(['F',4,[1,2]); Q
 Quiver on 6 vertices of type ['F', 4, [1, 2]]

 sage: Q2 = Quiver(['F',4,[1,2]); Q2
 Quiver on 6 vertices of type ['F', 4, [1, 2]]

 sage: Q3 = Quiver(['F',4,[2,1]); Q3
 Quiver on 6 vertices of type ['F', 4, [1, 2]]

 sage: Q1._mutation_type == Q3._mutation_type
 True

 sage: Q1 == Q2
 True
 }}}

 The difference now is:

 {{{
 sage: Q1 == Q3
 False
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10538#comment:24>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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