Counting Rank-2 Matroids

Dukes, W.M.B. (2000) Counting Rank-2 Matroids. (Preprint)

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Abstract

We enumerate the number of rank-2 matroids, non-isomorphic rank-2 matroids, connected rank-2 matroids and non-isomorphic connected rank-2 matroids on a ground set of size n. A surprising connection is found between these matroids, the Bell numbers and partitions of an integer is uncovered.

Item Type: Article
Uncontrolled Keywords: Matroid, enumeration, rank-2, integer partitions, 2-connectedness, Bell numbers
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 11:52
Last Modified: 17 Jul 2018 13:08
URI: http://dair.dias.ie/id/eprint/429

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