#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.2
      Component:  algebra            |   Resolution:
       Keywords:  algebra, quiver,   |    Merged in:
  module, days49                     |    Reviewers:  Simon King
        Authors:  Jim Stark, Simon   |  Work issues:
  King, Mathieu Guay-Paquet, Aladin  |       Commit:
  Virmaux                            |  72fb2eb71459f4ac76b0d922a7ad788c660a8017
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/SimonKing/ticket/12630           |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623             |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Hi Nathann,

 Replying to [comment:167 ncohen]:
 > What about `DiGraph.all_paths(edges=True)` ?

 Yes, good idea!

 > I thought 2) was a joke, but I answered it seriously just in case. The
 answer to 3 depends on what you do with the paths : how do you plan on
 storing them ? A list is probably the worst you can do `^^;`

 In the current code, it ''is'' stored in a (Python) list, and I totally
 agree
 that this is bad. But I want to see this code move forward, and the code
 has
 been refactored often enough.

 So, I want a preliminary but slow version (that apparently is useful to
 people, or otherwise Jim Stark had not provided the code) and then replace
 it
 with something faster.

 I have an implementation using two different kinds of storing it as
 `*long`,
 in compressed form. In both implementations, concatenation, comparison and
 sub-path test are fast enough for me...

 But this will be on a new ticket, since otherwise I don't see a chance of
 progress here.

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:168>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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