#14666: Test if a weight function is generic for a given matroid
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Reporter: Stefan | Owner: sage-combinat
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.11
Component: combinatorics | Keywords: matroid, weight function
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies: 7477
Stopgaps: |
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Reported by darij on http://trac.sagemath.org/sage_trac/ticket/7477 :
Feature suggestion, if not already implemented: a method to test if a
given weight function is generic, i. e., has exactly one maximizing basis.
Of course, this is easy thanks to the exchange graph, as one only needs to
find a maximizing basis and then check that all its exchange neighbours
have strictly smaller weight. This function is useful to some Hopf-
algebraic constructions.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14666>
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