#15683: Interval-posets of Tamari
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Reporter: VivianePons | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.1
Component: combinatorics | Resolution:
Keywords: combinat, Tamari, | Merged in:
binary trees, Dyck paths | Reviewers:
Authors: Viviane Pons | Work issues:
Report Upstream: N/A | Commit:
Branch: public/combinat | ca65667ebff6eeed3fdb4eb8f46489c4e99acd55
/interval-posets-15683 | Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Viviane Pons', 'oldvalue': ''}):
* status: new => needs_review
* author: => Viviane Pons
Old description:
> Implementation of a combinatorial object called interval-poset which
> represent an interval of the Tamari lattice. In particular, it is linked
> to Dyck paths and binary trees.
New description:
Implementation of a combinatorial object called interval-poset which
represent an interval of the Tamari lattice. In particular, it is linked
to Dyck paths and binary trees.
I have implemented all the basic methods. I still have other methods
(composition, involution) but I leave them for some later ticket because
this one is quite big.
Summary:
- adding the classes TamariIntervalPoset and TamariIntervalPosets with a
lot of simple and useful combinatorics on it (iteration, size of the
interval, maximal chain, ...)
- adding methods in Dyck paths and Binary trees to get Tamari intervals
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Ticket URL: <http://trac.sagemath.org/ticket/15683#comment:3>
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