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A Result in Combinatorial Matroid Theory

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Topics in Combinatorics and Graph Theory

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Abstract

Defining the orthogonality in a matroid, we show that if an element is orthogonal to a set A, then it is also orthogonal to the span Ā of A.

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References

  1. J. Edmonds, Minimum partition of a matroid into independent subsets, J. Res. Nat. Bur. Stand., 69B (1965), 67–72.

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  2. R. von Randow, Introduction to the Theory of Matroids, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 1975.

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  3. W. T. Tutte, Lectures on matroids, J. Res. Nat. Bur. Stand., 69B (1965), 1–47.

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  4. D. J. A. Welsh, Matroid Theory, Academic Press, 1976.

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Author information

Authors and Affiliations

  1. Bucharest, Romania

    D. Marcu

Authors
  1. D. Marcu
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und ihre Didaktik, Pädagogische Hochschule Kiel, Olshausenstraße 75, 2300, Kiel, Germany

    Rainer Bodendiek

  2. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Rechenzentrum, Zirkel 2, Postfach 6980, 7500, Karlsruhe, Germany

    Rudolf Henn

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© 1990 Physica-Verlag Heidelberg

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Marcu, D. (1990). A Result in Combinatorial Matroid Theory. In: Bodendiek, R., Henn, R. (eds) Topics in Combinatorics and Graph Theory. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46908-4_58

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  • DOI: https://doi.org/10.1007/978-3-642-46908-4_58

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-642-46910-7

  • Online ISBN: 978-3-642-46908-4

  • eBook Packages: Springer Book Archive

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