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PUBLICATIONS

Approximating the Number of Bases for Almost All Matroids

Published

Author(s)

Brian D. Cloteaux

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
Mathematics and statistics

Citation

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 April 19, 2024)

Created February 1, 2011, Updated February 19, 2017