#20972: Add certificate to is_relatively_complemented()
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       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/rel_complemented_cert |  dcbdf00ffcb2f05292ba3f3d336aa07843b13106
   Dependencies:                     |     Stopgaps:
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Changes (by jmantysalo):

 * status:  needs_review => needs_info


Comment:

 Replying to [comment:3 tscrim]:
 > I think the `INPUT:` block should just say:
 > {{{
 > - ``certificate`` -- (default: ``False``) whether to return a
 certificate if
 >   ``self`` is not relatively complemented
 > }}}
 > and then put the description of the certificate/output in an `OUTPUT:`
 block. Similar for #20940.

 Can be done, of course, but I guess that then at least `is_dismantlable()`
 should be changed too. What about `breadth()` of a lattice? See also
 `is_chordal()` and `is_circulant()` in generic graphs.

 Is it possible to accept this and #20940, and then later change docstrings
 for those? Also we should think if `certify` at `canonical_label()` of
 graphs should be changed to `certificate`.

--
Ticket URL: <https://trac.sagemath.org/ticket/20972#comment:4>
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