#15283: Rowmotion and Panyushev orbits: iterators for orbits and better doc
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Reporter: darij | Owner:
Type: enhancement | Status:
Priority: major | needs_info
Component: combinatorics | Milestone: sage-5.13
Keywords: posets, rowmotion, sage- | Resolution:
combinat, panyushev, order-ideals, categories | Merged in:
Authors: Darij Grinberg | Reviewers: Nathann
Report Upstream: N/A | Cohen
Branch: | Work issues:
Dependencies: | Commit:
| Stopgaps:
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Comment (by ncohen):
> I don't think {{{self.lt}}} returns the right format for {{{sorted}}}.
It seems that the {{{cmp}}} keyword of {{{sorted}}} wants a total
-1,0,1-valued function, not a boolean one.
Well. If you insist on that, I can make it {{{lambda x,y :
2*self.lt(x,y)-1}}} `:-P`
> I originally wanted to implement these functions as semantics for
{{{is_chain}}} and {{{is_antichain}}}, but found that this would make the
docstring rather confusing.
Really ? What do you think of this ?
{{{
def is_chain(verts=None):
Checks whether the Poset (or a specific subset of it) is a chain
INPUT:
- ``verts`` (list of vertices) -- If ``verts`` is ``None`` (default),
the function returns ``True`` if and only if the poset is a chain.
If ``verts`` is a list of points, the function returns ``True`` if
and only if ``verts`` is a chain of the poset.
- ``ordered`` (boolean) -- Whether to consider ``verts`` as a list,
or as a set. If ``ordered`` is set to ``True`` (default), only
checks whether the vertices of ``verts`` are totally ordered in
the poset. If ``ordered`` is set to ``False`` (default), checks
whether these vertices are totally ordered with the ordering
given by the list ``verts``
}}}
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/15283#comment:12>
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