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Matroids Having Small Circumference

Published online by Cambridge University Press:  02 October 2001

BRÁULIO MAIA  and
MANOEL LEMOS
BRÁULIO MAIA
Affiliation:
Departamento de Matemática e Estatística, Universidade Federal da Paraíba, Campina Grande, Paraíba, 58105-305, Brazil (e-mail: bmj@dme.ufpb.br)
MANOEL LEMOS
Affiliation:
Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Pernambuco, 50740-540, Brazil (e-mail: manoel@dmat.ufpe.br)
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Abstract

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In this paper, we conclude the construction of all the matroids having circumference at most five. We use this result to prove a conjecture of Hochstättler and Jackson, in a special case.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 10 , Issue 4 , July 2001 , pp. 349 - 360
Copyright
2001 Cambridge University Press