Inseparability graphs of oriented matroids

Abstract

We determine the inseparability graphs of uniform oriented matroids and of graphic oriented matroids. For anyr, n such that 4≦r≦n−3, examples of rankr uniform oriented matroids onn elements with a given inseparability graph are obtained by simple constructions of polytopes having prescribed separation properties.

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Roudneff, J.P. Inseparability graphs of oriented matroids. Combinatorica 9, 75–84 (1989). https://doi.org/10.1007/BF02122686

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AMS subject classification (1980)

  • 05 B 35