#19123: LatticePoset: add is_vertically_decomposable
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/vertically_decomposable2|  
b408d0c9dd34b9c07ca3472d7e12615dc7072457
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by jmantysalo):

 * status:  needs_review => needs_work
 * milestone:  sage-6.9 => sage-7.0


Comment:

 Documentation part (i.e. index of functions) done in #19854, so this one
 needs work.

 Also this should be thinked about. There is also #19659 waiting, and in
 principle it is same thing as this one; a poset that is also a lattice can
 be expressed as an ordinal sum of two posets only if it vertically
 decomposable. At least http://users.cecs.anu.edu.au/~bdm/papers/posets.pdf
 by Brinkmann and McKay uses term "vertically decomposable" with non-
 lattice posets.

 (Actually after #19659 it is easy to make a simple function for #19215,
 and then use it as a "precompiler" for #14126. But that's another story.)

--
Ticket URL: <http://trac.sagemath.org/ticket/19123#comment:47>
Sage <http://www.sagemath.org>
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