#6812: Enumerate integer vectors modulo to the action of a Permutation Group
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Reporter: nborie | Owner: nborie
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.4
Component: combinatorics | Keywords: enumeration, integer, list,
permutation, group
Author: nborie | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by nborie:
Old description:
> The goal is to enumerate lists up to the action of a Permutation Group.
> The final function is generate_list_of_sum(integer) which give all list
> which sum over all element is the integer.
>
> The module in patch use the orderly generating algorithm. The goal is to
> select list which are maximals according the lexicographic order.
>
> There is a lot of test on this module( strong_generating_system() are
> also test indirectly in this module... )
>
> depends on #8288 #6647 and the category framework #5891
New description:
The goal of this ticket is to enumerate integer vectors up to the action
of a Permutation Group.
This will produced a Parent : infinite enumerated set whose element are
just tuple of python int (cythonize this is in my wishlist...).
depends on #8288
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:15>
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