#15612: We need unordered trees
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Reporter: darij | Owner:
Type: task | Status: new
Priority: major | Milestone: sage-6.1
Component: combinatorics | Resolution:
Keywords: trees | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by darij:
Old description:
> Of course, the actual implementation will have to wait for #14498 being
> reviewed (hint, hint), but I guess it won't hurt to bring up the matter
> now.
>
> I'd really like to see unordered (=non-planar) trees of various varieties
> (binary/arbitrary, labelled/unlabelled) being implemented in Sage.
> ("Unordered" means that the children of a vertex form a multiset, not a
> list.) I'm wondering if it is possible to implement the labelled kind as
> a finite set with a Maybe-endomorphism (i. e., a partial map from the set
> to itself), because I guess this will be a lot faster than following the
> recursive paradigm we currently have.
New description:
Of course, the actual implementation will have to wait for #14498 being
reviewed (hint, hint), but I guess it won't hurt to bring up the matter
now.
I'd really like to see unordered (=non-planar) trees of various varieties
(binary/arbitrary, labelled/unlabelled) being implemented in Sage.
("Unordered" means that the children of a vertex form a multiset, not a
list.) I'm wondering if it is possible to implement the labelled kind as a
finite set with a Maybe-endomorphism (i. e., a partial map from the set to
itself) while still satisfying the AbstractLabelledTree implementation,
because I guess this will be a lot faster than following the recursive
paradigm we currently have.
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Ticket URL: <http://trac.sagemath.org/ticket/15612#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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