#19659: Poset: inverse function of ordinal_sum()
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:  poset              |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/develop               |  01f9e1c6bb502e6044181c856bcb8984718fd237
   Dependencies:                     |     Stopgaps:
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Comment (by ncohen):

 > Then series-parallel decomposition would call that, and then... create a
 poset of them? So no luck.
 >
 > With implementation at `HasseDiagram` we (read: I) can make a function
 to make a series-parallel decomposition that does not create `Poset`s
 recursively.

 I do not understand a word of what you are saying. Please, I try to make
 each of my sentences accurate to be sure that I do not get misunderstood,
 and as it is I can't get a straight answer. I assure you that I spend
 *minutes* over each of my comments.

 I am trying to understand, as I asked in [comment:30], if you need
 !HasseDiagram only because of the slow Poset constructor or if there is
 another reason. You told me in [comment:35] that you wanted to be able to
 return something which is *not* a poset, and I said in [comment:36] that
 you could do so with Poset only. Now the two sentences to which I am
 replying right now say again that what you want to avoid is the Poset
 constructor.

 Could you confirm that the cost of the Poset constructor is the only thing
 that bothers you, or else tell me what exactly is the problem? At the
 moment, I am convinced that the only reason for which you implement
 everything twice is because you want to avoid building posets. Tell me if
 I am wrong.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/19659#comment:39>
Sage <http://www.sagemath.org>
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