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MINTY COLORINGS AND ORIENTATIONS OF MATROIDS (1979)

Bland, Robert G. ; Vergnas, Michel Las

Oxford, UK : Blackwell Publishing Ltd

Annals of the New York Academy of Sciences 319 (1979), S. 0

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ISSN: 1749-6632

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Allgemeine Naturwissenschaft

Notizen: Oriented matroids are known to have a Minty coloring property. We show here that this property characterizes oriented matroids. The proof is based upon another characterization of oriented matroids due to Bland and Las Vergnas [2]. The result indicates that oriented matroids provide the broadest possible abstraction of directed graphs and vector spaces over ordered fields as systems of signed sets.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1749-6632.1979.tb32777.x

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