Article ID Journal Published Year Pages File Type
4648447 Discrete Mathematics 2012 5 Pages PDF
Abstract

In this note, we construct all the matroids that have a pair of elements belonging to just one of its circuits. We use this result to establish that, with two small exceptions, wheels and whirls are the only 3-connected matroids having a pair of elements contained in exactly two of its circuits.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Preview
On matroids with few circuits containing a pair of elements
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