#17818: Interface to FindStat
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Reporter: mantepse | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: interfaces | Keywords: FindStat
Merged in: | Authors: Martin Rubey
Reviewers: | Report Upstream: N/A
Work issues: | Branch: public/findstat-
Commit: | interface
ce07ce4d0cb545a054f6b4878ce349119d18d901| Dependencies:
Stopgaps: |
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Sage should have an interface to FindStat, the "combinatorial statistics
finder". A first version, modelled after the interface to the OEIS is
attached. To get you started, you can try the following:
{{{
sage: findstat('St000045') # optional -- internet
St000045: The number of linear extensions of the tree.
sage: s = findstat(3); s # optional --
internet
St000003: The number of [[/StandardTableaux|standard Young tableaux]]
of the partition.
sage: s.browse()
sage: stat = {pi: pi.length() for pi in Permutations(3)}
sage: search = findstat(stat) ; search # optional -- internet
0: (St000018: The [[/Permutations/Inversions|number of inversions]] of
a permutation., [], 6)
1: (St000004: The [[/Permutations/Descents-Major|major index]] of a
permutation., ['inversion-number to major-index bijection'], 6)
2: (St000067: The inversion number of the alternating sign matrix.,
['to alternating sign matrix'], 6)
3: (St000224: The sorting index of a permutation., ['first fundamental
transformation'], 6)
4: (St000008: The major index of the composition., ['inversion-number
to major-index bijection', 'descent composition'], 6)
5: (St000059: The inversion number of a standard Young tableau as
defined by Haglund and Stevens. [1] , ['inversion-number to major-index
bijection', 'Robinson-Schensted recording tableau'], 6)
6: (St000153: The number of adjacent cycles of a permutation.,
['reverse', 'first fundamental transformation'], 6)
7: (St000156: The Denert index of a permutation., ['inverse first
fundamental transformation', 'foata_bijection'], 6)
8: (St000174: The flush statistic on semistandard tableaux., ['to
alternating sign matrix', 'to semistandard tableau'], 6)
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/17818>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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