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Removable Circuits in Binary Matroids

Published online by Cambridge University Press:  01 November 1999

LUIS A. GODDYN
Affiliation:
Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada (e-mail: [email protected])
BILL JACKSON
Affiliation:
Department of Mathematical and Computing Sciences, Goldsmiths' College, London SE14 6NW, England (e-mail: [email protected])

Abstract

We show that, if M is a connected binary matroid of cogirth at least five which does not have both an F7-minor and an F*7-minor, then M has a circuit C such that MC is connected and r(MC) = r(M).

Type
Research Article
Copyright
© 1999 Cambridge University Press

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