#14110: Speed Up Poset Generation
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Reporter: csar | Owner: csar
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.11
Component: combinatorics | Resolution:
Keywords: posets | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Changes (by chapoton):
* keywords: => posets
Old description:
> Currently (sage 5.6), Sage generates the posets on n elements by
> generating all digraphs with n vertices and checking which of those give
> posets. A paper of Brinkmann and McKay gives an algorithm for generating
> posets which they used to generate posets up to 16. Sage uses a related
> algorithm of McKay to generate the digraphs.
New description:
Currently (sage 5.6), Sage generates the posets on n elements by
generating all digraphs with n vertices and checking which of those give
posets. A paper of Brinkmann and McKay gives an algorithm for generating
posets which they used to generate posets up to 16. Sage uses a related
algorithm of McKay to generate the digraphs.
B. D. McKay and G. Brinkmann, Posets on up to 16 points, Order, 19 (2002)
147-179
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Ticket URL: <http://trac.sagemath.org/ticket/14110#comment:2>
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