Title

On maximum-sized near-regular and 6√1-matroids

Document Type

Article

Publication Date

1-1-1998

Abstract

The classes of near-regular and 6√1-matroids arise in the study of matroids representable over GF(3) and other fields. For example, a matroid is representable over all fields except possibly GF(2) if and only if it is near-regular, and a matroid is representable over GF(3) and GF(4) if and only if it is a 6√1-matroid. This paper determines the max-imum sizes of a simple rank-r near-regular and a simple rank-r 6√1-matroid and determines all such matroids having these sizes. © Springer-Verlag 1998.

Publication Source (Journal or Book title)

Graphs and Combinatorics

First Page

163

Last Page

179

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