Cloteaux, B.
(2011),
Approximating the Number of Bases for Almost All Matroids, Congressus Numerantium, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=900881
(Accessed October 5, 2024)
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Approximating the Number of Bases for Almost All Matroids
Published
Author(s)
Abstract
We define a class of matroids A for which a fully polynomial randomized approximation scheme (fpras) exists for counting the number of bases of the matroids. We then show that as the number of elements in a matroid increases, the probability that a matroid belongs to A goes to 1. We thus provide a fpras for counting the number of bases that applies to almost all matroids.Citation
Congressus Numerantium
Volume
202
Pub Type
Journals
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Keywords
matroids, randomized algorithms
Citation
Issues
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Created February 1, 2011, Updated February 19, 2017