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Non-Binary Matroids Having At Most Three Non-Binary Elements

Published online by Cambridge University Press:  12 September 2008

Manoel Lemos
Manoel Lemos
Affiliation:
Departamento de Matemática, Universidade Federal de Pernambuco Cidade Universitária, Recife, PE, 50740–540, Brazil e-mail: manoel@dmat.ufpe.br
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Abstract

An element e of a matroid M is called non-binary when M\e and M/e are both non-binary matroids. Oxley in [5] gave a characterization of the 3-connected non-binary matroids without non-binary elements. In this paper, we will construct all the 3-connected matroids having 1, 2 or 3 non-binary elements.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 3 , September 1994 , pp. 355 - 369
Copyright
Copyright © Cambridge University Press 1994

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References

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