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Electronic Journal of Combinatorics
Article . 2012 . Peer-reviewed
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Electronic Journal of Combinatorics
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https://dx.doi.org/10.37236/23...
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Counting Bases of Representable Matroids

Counting bases of representable matroids
descriptionPublicationkeyboard_double_arrow_right Article 13 Dec 2012Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 19 (eissn: 1077-8926, Copyright policy )
Authors: Michael Snook;

doi: 10.37236/2396

Counting Bases of Representable Matroids

Abstract

We show that it is #P-complete to count the number of bases of matroids representable over a fixed infinite field or fields of fixed characteristic.

Related Organizations
Keywords

matroid bases, Combinatorics in computer science, Combinatorial aspects of matroids and geometric lattices, complexity, \#P complete

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 5
    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold