#9806: Constellations
-------------------------------------+-------------------------------------
Reporter: vdelecroix | Owner: vdelecroix
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: constellation, | Merged in:
permutation, surfaces, graphs | Reviewers:
Authors: Vincent Delecroix | Work issues:
Report Upstream: N/A | Commit:
Branch: u/chapoton/9806 | d5aa9fdead5875b37c9ddd11e6289bd5aff668de
Dependencies: | Stopgaps:
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Comment (by chapoton):
Replying to [comment:62 vdelecroix]:
> I guess that it makes sense to move the remaining functions from
`sage.misc.permutation` inside `constellation.py`.
ok, done
> Since you are now using permutations, I would actually allow any domain.
In other words, add a fixed symmetric group attribute to `Constellations`.
maybe for a later ticket ? this one has been waiting for years
> When you check matching with the oeis sequence 220754, you can also do
that in Sage
> {{{
> sage: seq = oeis('A220754')
> sage: seq
> A220754: Number of ordered triples (a,b,c) of elements of the symmetric
group S_n such that the triple a,b,c generates a transitive group.
> sage: seq.first_terms()
> (1,
> 7,
> 194,
> 12858,
> 1647384,
> 361351560,
> 125116670160,
> 64439768489040,
> 47159227114392960,
> 47285264408385951360,
> 63057420721939066617600,
> 109118766834521171299756800,
> 239996135160204867851157273600,
> 659114500480471292127627441484800)
> }}}
I know. I would prefer not to depend on "optional internet". The current
test is good enough.
> The fact that the associated permutation group is transitive is
equivalent to the "connectedness". You should either use one or the other.
Sorry, but where is the exact problem you talk about ?
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Ticket URL: <http://trac.sagemath.org/ticket/9806#comment:64>
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