#14732: Realize a poset as a graph
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Reporter: chrisjamesberg | Owner: sage-combinat
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-5.11
Component: combinatorics | Resolution:
Keywords: FindStatDays01 | Work issues:
Report Upstream: N/A | Reviewers: Travis Scrimshaw, Christian
Stump
Authors: Chris Berg | Merged in:
Dependencies: | Stopgaps:
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Comment (by nthiery):
Replying to [comment:10 nthiery]:
> Grumble, my comment never made it through; stupid trac. Well, it's kind
of late now, but since I had typed it in ....
>
> Replying to [comment:5 VivianePons]:
> > actually there is a strong use case: in FindStat we need the method to
consider the map between posets and graphs. When people look for a stat on
posets, this maps allows us to also look on graphs.
> >
> > From a pure Sage point of vue, I think it is actually a nice shortcut:
not everyone thinks of transforming the poset into a Hasse diagram.
>
> I would find more natural to have hasse_diagram be a combinatorial map
from posets to directed graphs (possibly with an alias to_digraph, or just
digraph for consistency with crystals). And to have another combinatorial
map from directed graphs to graphs. The composition of the two maps is not
super canonical.
>
> Have fun at Findstat Days 1!
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14732#comment:11>
Sage <http://www.sagemath.org>
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