#19191: LatticePoset: add is_planar()
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       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/latticeposet__add_is_planar__|  
c669ecbf2476518175f0719ba25e76cdc05f1521
   Dependencies:                     |     Stopgaps:
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Comment (by ncohen):

 Jori,

 Up to now, in all papers that I have seen, a Poset is defined to be planar
 when its hasse diagram is planar. Have you even found one paper that
 defines it differently?

 If there is to be a `Lattice.is_planar` or a `Poset.is_planar`, I expect
 it to be `self._hasse_diagram.is_planar()`, and nothing else. Even the
 paper that mentions this additional edge between 0 and n-1 uses *this*
 definition (without the additional edge) and apparently proves that you
 can add this edge without changing the property.

 The least I can say is that I *know* that some people would be entitled to
 believe that `Lattice.is_planar` does not add any edge, even without
 reading the documentation (did you ever read the documentation of
 `is_even` ?). And those must not be mislead.

 If you want to implement another definition, it will have to be under
 another name.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/19191#comment:17>
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